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10022322303030 = 23523157311297481
BaseRepresentation
bin1001000111011000000011…
…1101011111000000110110
31022111010100212120201221110
42101312000331133000312
52303201204002144110
633152105153255450
72053042326653052
oct221660075370066
938433325521843
1010022322303030
113214496727744
12115a487564586
135791409b6a5b
14269123a0ac62
15125a849d8a20
hex91d80f5f036

10022322303030 has 128 divisors (see below), whose sum is σ = 25340554377216. Its totient is φ = 2531959372800.

The previous prime is 10022322302933. The next prime is 10022322303067. The reversal of 10022322303030 is 3030322322001.

It is a junction number, because it is equal to n+sod(n) for n = 10022322302988 and 10022322303006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33541890 + ... + 33839370.

It is an arithmetic number, because the mean of its divisors is an integer number (197973081072).

Almost surely, 210022322303030 is an apocalyptic number.

10022322303030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022322303030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12670277188608).

10022322303030 is an abundant number, since it is smaller than the sum of its proper divisors (15318232074186).

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

10022322303030 is a wasteful number, since it uses less digits than its factorization.

10022322303030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297982.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 10022322303030 its reverse (3030322322001), we get a palindrome (13052644625031).

The spelling of 10022322303030 in words is "ten trillion, twenty-two billion, three hundred twenty-two million, three hundred three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 157 230 311 314 345 471 622 690 785 933 942 1555 1570 1866 2355 3110 3611 4665 4710 7153 7222 9330 10833 14306 18055 21459 21666 35765 36110 42918 48827 54165 71530 97654 107295 108330 146481 214590 244135 292962 297481 488270 594962 732405 892443 1123021 1464810 1487405 1784886 2246042 2974810 3369063 4462215 5615105 6738126 6842063 8924430 11230210 13684126 16845315 20526189 33690630 34210315 41052378 46704517 68420630 92516591 93409034 102630945 140113551 185033182 205261890 233522585 277549773 280227102 462582955 467045170 555099546 700567755 925165910 1074203891 1387748865 1401135510 2127881593 2148407782 2775497730 3222611673 4255763186 5371019455 6383644779 6445223346 10639407965 10742038910 12767289558 14525104787 16113058365 21278815930 29050209574 31918223895 32226116730 43575314361 63836447790 72625523935 87150628722 145251047870 217876571805 334077410101 435753143610 668154820202 1002232230303 1670387050505 2004464460606 3340774101010 5011161151515 10022322303030