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431129112 = 233172345943
BaseRepresentation
bin11001101100101…
…000001000011000
31010001020121221220
4121230220020120
51340332112422
6110440332040
713453352121
oct3154501030
91101217856
10431129112
112013a7757
12100474020
136b4204ab
1441389048
1527cb1e5c
hex19b28218

431129112 has 64 divisors (see below), whose sum is σ = 1190868480. Its totient is φ = 129372672.

The previous prime is 431129099. The next prime is 431129119. The reversal of 431129112 is 211921134.

It is a super-2 number, since 2×4311291122 = 371744622427817088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431129119) 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 15 ways as a sum of consecutive naturals, for example, 13588 + ... + 32355.

It is an arithmetic number, because the mean of its divisors is an integer number (18607320).

Almost surely, 2431129112 is an apocalyptic number.

It is an amenable number.

431129112 is an abundant number, since it is smaller than the sum of its proper divisors (759739368).

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

431129112 is a wasteful number, since it uses less digits than its factorization.

431129112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45992 (or 45988 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 431129112 is about 20763.6488122873. The cubic root of 431129112 is about 755.4443020286. Note that the first 3 decimals are identical.

The spelling of 431129112 in words is "four hundred thirty-one million, one hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 4692 9384 45943 91886 137829 183772 275658 367544 551316 781031 1056689 1102632 1562062 2113378 2343093 3124124 3170067 4226756 4686186 6248248 6340134 8453512 9372372 12680268 17963713 18744744 25360536 35927426 53891139 71854852 107782278 143709704 215564556 431129112