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100230441210042 = 23113134123547409
BaseRepresentation
bin10110110010100010110111…
…110110000001000010111010
3111010212221021210002220112220
4112302202313312001002322
5101114133420422210132
6553101121245344510
730053260525124613
oct2662426766010272
9433787253086486
10100230441210042
1129a33545074000
12b2a93b7b68136
1343c08c806a030
141aa7271b8cc0a
15b8c355471a2c
hex5b28b7d810ba

100230441210042 has 128 divisors (see below), whose sum is σ = 243244368541440. Its totient is φ = 27352669132800.

The previous prime is 100230441209869. The next prime is 100230441210049. The reversal of 100230441210042 is 240012144032001.

It is a super-2 number, since 2×1002304412100422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100230441209994 and 100230441210021.

It is not an unprimeable number, because it can be changed into a prime (100230441210049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7517167 + ... + 16030242.

It is an arithmetic number, because the mean of its divisors is an integer number (1900346629230).

Almost surely, 2100230441210042 is an apocalyptic number.

100230441210042 is an abundant number, since it is smaller than the sum of its proper divisors (143013927331398).

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

100230441210042 is a wasteful number, since it uses less digits than its factorization.

100230441210042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23547501 (or 23547479 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100230441210042 its reverse (240012144032001), we get a palindrome (340242585242043).

The spelling of 100230441210042 in words is "one hundred trillion, two hundred thirty billion, four hundred forty-one million, two hundred ten thousand, forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 41 66 78 82 121 123 143 242 246 286 363 429 451 533 726 858 902 1066 1331 1353 1573 1599 2662 2706 3146 3198 3993 4719 4961 5863 7986 9438 9922 11726 14883 17303 17589 29766 34606 35178 51909 54571 64493 103818 109142 128986 163713 193479 327426 386958 709423 1418846 2128269 4256538 23547409 47094818 70642227 141284454 259021499 306116317 518042998 612232634 777064497 918348951 965443769 1554128994 1836697902 1930887538 2849236489 2896331307 3367279487 5698472978 5792662614 6734558974 8547709467 10101838461 10619881459 12550768997 17095418934 20203676922 21239762918 25101537994 31341601379 31859644377 37040074357 37652306991 62683202758 63719288754 74080148714 75304613982 94024804137 111120223071 116818696049 138058458967 188049608274 222240446142 233637392098 276116917934 350456088147 407440817927 414175376901 700912176294 814881635854 828350753802 1222322453781 1285005656539 1518643048637 2444644907562 2570011313078 3037286097274 3855016969617 4555929145911 7710033939234 9111858291822 16705073535007 33410147070014 50115220605021 100230441210042