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100556522002104 = 233713123331958461
BaseRepresentation
bin10110110111010010100011…
…110001100001011010111000
3111012001002221220122110002120
4112313102203301201122320
5101140004224113031404
6553511010052401240
730115653233125020
oct2667224361413270
9435032856573076
10100556522002104
112a049866192403
12b34063b916220
1344155932b907c
141ab8d66a16a80
15b95a8c6429d9
hex5b74a3c616b8

100556522002104 has 128 divisors (see below), whose sum is σ = 289621747514880. Its totient is φ = 28498883212800.

The previous prime is 100556522002019. The next prime is 100556522002109. The reversal of 100556522002104 is 401200225655001.

100556522002104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005565220021042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100556522002109) 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, 50365434 + ... + 52323894.

It is an arithmetic number, because the mean of its divisors is an integer number (2262669902460).

Almost surely, 2100556522002104 is an apocalyptic number.

100556522002104 is a gapful number since it is divisible by the number (14) 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 100556522002104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144810873757440).

100556522002104 is an abundant number, since it is smaller than the sum of its proper divisors (189065225512776).

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

100556522002104 is a wasteful number, since it uses less digits than its factorization.

100556522002104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960941 (or 1960937 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 100556522002104 its reverse (401200225655001), we get a palindrome (501756747657105).

The spelling of 100556522002104 in words is "one hundred trillion, five hundred fifty-six billion, five hundred twenty-two million, two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1048 1572 1834 2333 2751 3144 3668 4666 5502 6999 7336 9332 11004 13998 16331 18664 22008 27996 32662 48993 55992 65324 97986 130648 195972 305623 391944 611246 916869 1222492 1833738 1958461 2139361 2444984 3667476 3916922 4278722 5875383 6418083 7334952 7833844 8557444 11750766 12836166 13709227 15667688 17114888 23501532 25672332 27418454 41127681 47003064 51344664 54836908 82255362 109673816 164510724 256558391 329021448 513116782 769675173 1026233564 1539350346 1795908737 2052467128 3078700692 3591817474 4569089513 5387726211 6157401384 7183634948 9138179026 10775452422 13707268539 14367269896 18276358052 21550904844 27414537078 31983626591 36552716104 43101809688 54829074156 63967253182 95950879773 109658148312 127934506364 191901759546 255869012728 383803519092 598550726203 767607038184 1197101452406 1795652178609 2394202904812 3591304357218 4189855083421 4788405809624 7182608714436 8379710166842 12569565250263 14365217428872 16759420333684 25139130500526 33518840667368 50278261001052 100556522002104