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110241120144042 = 23243619887259411
BaseRepresentation
bin11001000100001110000010…
…110011100100101010101010
3112110022221121012122012212100
4121010032002303210222222
5103422142303224102132
61030244023233154230
732135441504106456
oct3104160263445252
9473287535565770
10110241120144042
1132142aa6383208
12104455740bb976
1349689017576c4
141d319ad293666
15cb2957b8337c
hex644382ce4aaa

110241120144042 has 96 divisors (see below), whose sum is σ = 245082330155520. Its totient is φ = 35793935523360.

The previous prime is 110241120144011. The next prime is 110241120144073. The reversal of 110241120144042 is 240441021142011.

110241120144042 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 4 + 11 + 201 + 440 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (110241120144011) and next prime (110241120144073).

It is a super-2 number, since 2×1102411201440422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110241120143997 and 110241120144015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424837317 + ... + 425096727.

It is an arithmetic number, because the mean of its divisors is an integer number (2552940939120).

Almost surely, 2110241120144042 is an apocalyptic number.

110241120144042 is an abundant number, since it is smaller than the sum of its proper divisors (134841210011478).

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

110241120144042 is a wasteful number, since it uses less digits than its factorization.

110241120144042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260968 (or 260965 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 110241120144042 its reverse (240441021142011), we get a palindrome (350682141286053).

The spelling of 110241120144042 in words is "one hundred ten trillion, two hundred forty-one billion, one hundred twenty million, one hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 619 774 887 1238 1774 1857 2661 3714 5322 5571 7983 11142 15966 26617 38141 53234 76282 79851 114423 159702 228846 239553 259411 343269 479106 518822 549053 686538 778233 1098106 1556466 1647159 2334699 3294318 4669398 4941477 9882954 11154673 22309346 23609279 33464019 47218558 66928038 70827837 100392057 141655674 160575409 200784114 212483511 230097557 321150818 424967022 460195114 481726227 690292671 963452454 1380585342 1445178681 2070878013 2890357362 4141756026 6904742587 9894194951 13809485174 19788389902 20714227761 29682584853 41428455522 59365169706 62142683283 89047754559 124285366566 142430387783 178095509118 284860775566 427291163349 854582326698 1281873490047 2563746980094 6124506674669 12249013349338 18373520024007 36747040048014 55120560072021 110241120144042