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111066139854372 = 2232367971095631009
BaseRepresentation
bin11001010000001110011001…
…110100000000011000100100
3112120020211010020202221011010
4121100032121310000120210
5104024201423300314442
61032115025200542220
732252156324664423
oct3120163164003044
9476224106687133
10111066139854372
113243098150665a
1210559441621970
1349c865204bbb1
141d5d8b64532ba
15cc914273cb9c
hex650399d00624

111066139854372 has 384 divisors, whose sum is σ = 280606304563200. Its totient is φ = 34112884506624.

The previous prime is 111066139854353. The next prime is 111066139854431. The reversal of 111066139854372 is 273458931660111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110075460204 + ... + 110075461212.

It is an arithmetic number, because the mean of its divisors is an integer number (730745584800).

It is a 1-persistent number, because it is pandigital, but 2⋅111066139854372 = 222132279708744 is not.

Almost surely, 2111066139854372 is an apocalyptic number.

111066139854372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111066139854372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140303152281600).

111066139854372 is an abundant number, since it is smaller than the sum of its proper divisors (169540164708828).

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

111066139854372 is a wasteful number, since it uses less digits than its factorization.

111066139854372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 111066139854372 in words is "one hundred eleven trillion, sixty-six billion, one hundred thirty-nine million, eight hundred fifty-four thousand, three hundred seventy-two".