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1292431520112 = 243174231374347
BaseRepresentation
bin10010110011101010111…
…010111111000101110000
311120112222202220211122020
4102303222322333011300
5132133344432120422
62425422420511440
7162242441442345
oct22635272770560
94515882824566
101292431520112
11459131999237
1218a59484b580
1394b500b0785
14467a832c7cc
152394476795c
hex12ceaebf170

1292431520112 has 80 divisors (see below), whose sum is σ = 3536025322752. Its totient is φ = 405371796480.

The previous prime is 1292431520053. The next prime is 1292431520131. The reversal of 1292431520112 is 2110251342921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3265323 + ... + 3639669.

Almost surely, 21292431520112 is an apocalyptic number.

1292431520112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1292431520112 is an abundant number, since it is smaller than the sum of its proper divisors (2243593802640).

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

1292431520112 is a wasteful number, since it uses less digits than its factorization.

1292431520112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378606 (or 378600 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 1292431520112 in words is "one trillion, two hundred ninety-two billion, four hundred thirty-one million, five hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 4231 8462 12693 16924 25386 33848 50772 67696 71927 101544 143854 203088 215781 287708 374347 431562 575416 748694 863124 1123041 1150832 1497388 1726248 2246082 2994776 3452496 4492164 5989552 6363899 8984328 12727798 17968656 19091697 25455596 38183394 50911192 76366788 101822384 152733576 305467152 1583862157 3167724314 4751586471 6335448628 9503172942 12670897256 19006345884 25341794512 26925656669 38012691768 53851313338 76025383536 80776970007 107702626676 161553940014 215405253352 323107880028 430810506704 646215760056 1292431520112