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11310012192 = 253117812627
BaseRepresentation
bin10101000100010000…
…10001011100100000
31002012012210011000110
422202020101130200
5141130330342232
65110140451320
7550162342323
oct124210213440
932165704013
1011310012192
114884230616
122237849b40
1310b321c70b
1479412c7ba
15462dc9acc
hex2a2211720

11310012192 has 24 divisors (see below), whose sum is σ = 29688782256. Its totient is φ = 3770004032.

The previous prime is 11310012191. The next prime is 11310012199. The reversal of 11310012192 is 29121001311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (11310012191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58906218 + ... + 58906409.

It is an arithmetic number, because the mean of its divisors is an integer number (1237032594).

Almost surely, 211310012192 is an apocalyptic number.

11310012192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11310012192 is an abundant number, since it is smaller than the sum of its proper divisors (18378770064).

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

11310012192 is a wasteful number, since it uses less digits than its factorization.

11310012192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117812640 (or 117812632 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 11310012192 in words is "eleven billion, three hundred ten million, twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 117812627 235625254 353437881 471250508 706875762 942501016 1413751524 1885002032 2827503048 3770004064 5655006096 11310012192