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103111442442 = 232531372113739
BaseRepresentation
bin110000000000111101…
…0111100000000001010
3100212011000100222212200
41200001322330000022
53142133012124232
6115211352021030
710310124541161
oct1400172740012
9325130328780
10103111442442
113a8027a2938
1217b97991776
139953312a48
144dc23963d8
152a3749377c
hex1801ebc00a

103111442442 has 96 divisors (see below), whose sum is σ = 230433128640. Its totient is φ = 33308271360.

The previous prime is 103111442431. The next prime is 103111442501. The reversal of 103111442442 is 244244111301.

103111442442 is a `hidden beast` number, since 103 + 1 + 114 + 4 + 2 + 442 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27575409 + ... + 27579147.

It is an arithmetic number, because the mean of its divisors is an integer number (2400345090).

Almost surely, 2103111442442 is an apocalyptic number.

103111442442 is an abundant number, since it is smaller than the sum of its proper divisors (127321686198).

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

103111442442 is a wasteful number, since it uses less digits than its factorization.

103111442442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 103111442442 its reverse (244244111301), we get a palindrome (347355553743).

The spelling of 103111442442 in words is "one hundred three billion, one hundred eleven million, four hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 53 106 137 159 211 274 318 411 422 477 633 822 954 1233 1266 1899 2466 3739 3798 7261 7478 11183 11217 14522 21783 22366 22434 28907 33549 33651 43566 57814 65349 67098 67302 86721 100647 130698 173442 198167 201294 260163 396334 512243 520326 594501 788929 1024486 1189002 1532071 1536729 1577858 1783503 2366787 3064142 3073458 3567006 4596213 4610187 4733574 7100361 9192426 9220374 13788639 14200722 27148879 27577278 41813237 54297758 81446637 83626474 108083273 125439711 162893274 216166546 244339911 250879422 324249819 376319133 488679822 648499638 752638266 972749457 1945498914 5728413469 11456826938 17185240407 34370480814 51555721221 103111442442