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93111142101042 = 231338211519320563
BaseRepresentation
bin10101001010111100100000…
…100011001011000000110010
3110012200100010120211021101010
4111022330200203023000302
544201013104334213132
6530010400154051350
725420025621144112
oct2512744043130062
9405610116737333
1093111142101042
112773923934a3aa
12a539691119b56
133cc545c819160
1418dc86373b042
15ab707b5b86cc
hex54af208cb032

93111142101042 has 64 divisors (see below), whose sum is σ = 200622520215936. Its totient is φ = 28638806238720.

The previous prime is 93111142101037. The next prime is 93111142101079. The reversal of 93111142101042 is 24010124111139.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4528081053 + ... + 4528101615.

It is an arithmetic number, because the mean of its divisors is an integer number (3134726878374).

Almost surely, 293111142101042 is an apocalyptic number.

93111142101042 is an abundant number, since it is smaller than the sum of its proper divisors (107511378114894).

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

93111142101042 is a wasteful number, since it uses less digits than its factorization.

93111142101042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39595.

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 93111142101042 in words is "ninety-three trillion, one hundred eleven billion, one hundred forty-two million, one hundred one thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 78 3821 7642 11463 15193 20563 22926 30386 41126 45579 49673 61689 91158 99346 123378 149019 197509 267319 298038 395018 534638 592527 801957 1185054 1603914 58052453 78571223 116104906 157142446 174157359 235713669 312413659 348314718 471427338 624827318 754681889 937240977 1021425899 1509363778 1874481954 2042851798 2264045667 3064277697 4061377567 4528091334 6128555394 8122755134 12184132701 24368265402 1193732591039 2387465182078 3581197773117 7162395546234 15518523683507 31037047367014 46555571050521 93111142101042