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20110222000120 = 2357314107103903
BaseRepresentation
bin1001001001010010001101…
…01000110111111111111000
32122012111222221121020221111
410210221012220313333320
510113441213313000440
6110434301454050104
74143626022406000
oct444510650677770
978174887536844
1020110222000120
11645377405711a
1223095b47a9934
13b2b50279b855
144d74a8b0d000
1524d1a66d14ea
hex124a46a37ff8

20110222000120 has 128 divisors (see below), whose sum is σ = 52771594752000. Its totient is φ = 6894378142848.

The previous prime is 20110222000067. The next prime is 20110222000123. The reversal of 20110222000120 is 2100022201102.

It is a happy number.

It is a super-2 number, since 2×201102220001202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20110222000120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110222000123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193496089 + ... + 193599991.

It is an arithmetic number, because the mean of its divisors is an integer number (412278084000).

Almost surely, 220110222000120 is an apocalyptic number.

20110222000120 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 20110222000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26385797376000).

20110222000120 is an abundant number, since it is smaller than the sum of its proper divisors (32661372751880).

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

20110222000120 is a wasteful number, since it uses less digits than its factorization.

20110222000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118042 (or 118024 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20110222000120 its reverse (2100022201102), we get a palindrome (22210244201222).

The spelling of 20110222000120 in words is "twenty trillion, one hundred ten billion, two hundred twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 13720 14107 28214 56428 70535 98749 103903 112856 141070 197498 207806 282140 394996 415612 493745 519515 564280 691243 727321 789992 831224 987490 1039030 1382486 1454642 1974980 2078060 2764972 2909284 3456215 3636605 3949960 4156120 4838701 5091247 5529944 5818568 6912430 7273210 9677402 10182494 13824860 14546420 19354804 20364988 24193505 25456235 27649720 29092840 35638729 38709608 40729976 48387010 50912470 71277458 96774020 101824940 142554916 178193645 193548040 203649880 285109832 356387290 712774580 1425549160 1465759621 2931519242 5863038484 7328798105 10260317347 11726076968 14657596210 20520634694 29315192420 41041269388 51301586735 58630384840 71822221429 82082538776 102603173470 143644442858 205206346940 287288885716 359111107145 410412693880 502755550003 574577771432 718222214290 1005511100006 1436444428580 2011022200012 2513777750015 2872888857160 4022044400024 5027555500030 10055111000060 20110222000120