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122014000431 = 3317265825709
BaseRepresentation
bin111000110100010011…
…0011110010100101111
3102122221100212102201000
41301220212132110233
53444341041003211
6132015155251343
711546422614531
oct1615046362457
9378840772630
10122014000431
11478227a4494
121b7922a9b53
13b6765240bb
145c96a07851
153291bd1656
hex1c6899e52f

122014000431 has 16 divisors (see below), whose sum is σ = 191394511200. Its totient is φ = 76557803904.

The previous prime is 122014000417. The next prime is 122014000453. The reversal of 122014000431 is 134000410221.

122014000431 is a `hidden beast` number, since 1 + 220 + 1 + 400 + 0 + 43 + 1 = 666.

It is not a de Polignac number, because 122014000431 - 211 = 122013998383 is a prime.

It is a super-2 number, since 2×1220140004312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122014000411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132912396 + ... + 132913313.

It is an arithmetic number, because the mean of its divisors is an integer number (11962156950).

Almost surely, 2122014000431 is an apocalyptic number.

122014000431 is a deficient number, since it is larger than the sum of its proper divisors (69380510769).

122014000431 is a wasteful number, since it uses less digits than its factorization.

122014000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265825735 (or 265825729 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122014000431 its reverse (134000410221), we get a palindrome (256014410652).

The spelling of 122014000431 in words is "one hundred twenty-two billion, fourteen million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 17 27 51 153 459 265825709 797477127 2392431381 4519037053 7177294143 13557111159 40671333477 122014000431