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110157201 = 32711413877
BaseRepresentation
bin1101001000011…
…01110110010001
321200021120021100
412210031312101
5211200012301
614533015013
72505215010
oct644156621
9250246240
10110157201
11571a9810
1230a84469
1319a8ba9b
14108b6a77
159a0e286
hex690dd91

110157201 has 48 divisors (see below), whose sum is σ = 203269248. Its totient is φ = 55814400.

The previous prime is 110157199. The next prime is 110157217. The reversal of 110157201 is 102751011.

It is a happy number.

It is not a de Polignac number, because 110157201 - 21 = 110157199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110157241) by changing a digit.

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, 26475 + ... + 30351.

It is an arithmetic number, because the mean of its divisors is an integer number (4234776).

Almost surely, 2110157201 is an apocalyptic number.

110157201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110157201 is a deficient number, since it is larger than the sum of its proper divisors (93112047).

110157201 is a wasteful number, since it uses less digits than its factorization.

110157201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 110157201 is about 10495.5800697246. The cubic root of 110157201 is about 479.3701243337.

The spelling of 110157201 in words is "one hundred ten million, one hundred fifty-seven thousand, two hundred one".

Divisors: 1 3 7 9 11 21 33 41 63 77 99 123 231 287 369 451 693 861 1353 2583 3157 3877 4059 9471 11631 27139 28413 34893 42647 81417 127941 158957 244251 298529 383823 476871 895587 1112699 1430613 1748527 2686761 3338097 5245581 10014291 12239689 15736743 36719067 110157201