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22231122103120 = 2457416229155443
BaseRepresentation
bin1010000111000000101100…
…01000101100101101010000
32220201021102010022200121011
411003200112020230231100
510403213314224244440
6115140500403540304
74453100634004330
oct503402610545520
986637363280534
1022231122103120
1170a11909547a7
1225b065998a694
13c5350284b7b8
1456bdc628b0c0
152884386b19ea
hex14381622cb50

22231122103120 has 160 divisors (see below), whose sum is σ = 60522133835520. Its totient is φ = 7434952519680.

The previous prime is 22231122103109. The next prime is 22231122103123. The reversal of 22231122103120 is 2130122113222.

It is a super-2 number, since 2×222311221031202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22231122103091 and 22231122103100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22231122103123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142940119 + ... + 143095561.

It is an arithmetic number, because the mean of its divisors is an integer number (378263336472).

Almost surely, 222231122103120 is an apocalyptic number.

22231122103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22231122103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30261066917760).

22231122103120 is an abundant number, since it is smaller than the sum of its proper divisors (38291011732400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22231122103120 is a wasteful number, since it uses less digits than its factorization.

22231122103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161733 (or 161727 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 22231122103120 its reverse (2130122113222), we get a palindrome (24361244216342).

The spelling of 22231122103120 in words is "twenty-two trillion, two hundred thirty-one billion, one hundred twenty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 6229 11480 12458 22960 24916 31145 43603 49832 62290 87206 99664 124580 155443 174412 218015 249160 255389 310886 348824 436030 498320 510778 621772 697648 777215 872060 1021556 1088101 1243544 1276945 1554430 1744120 1787723 2043112 2176202 2487088 2553890 3108860 3488240 3575446 4086224 4352404 5107780 5440505 6217720 6373163 7150892 8704808 8938615 10215560 10881010 12435440 12746326 14301784 17409616 17877230 20431120 21762020 25492652 28603568 31865815 35754460 43524040 44612141 50985304 63731630 71508920 87048080 89224282 101970608 127463260 143017840 178448564 223060705 254926520 356897128 446121410 509853040 713794256 892242820 968254447 1784485640 1936508894 3568971280 3873017788 4841272235 6777781129 7746035576 9682544470 13555562258 15492071152 19365088940 27111124516 33888905645 38730177880 39698432327 54222249032 67777811290 77460355760 79396864654 108444498064 135555622580 158793729308 198492161635 271111245160 277889026289 317587458616 396984323270 542222490320 555778052578 635174917232 793968646540 1111556105156 1389445131445 1587937293080 2223112210312 2778890262890 3175874586160 4446224420624 5557780525780 11115561051560 22231122103120