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31150168320 = 28358112023
BaseRepresentation
bin11101000000101100…
…011101100100000000
32222101220112111200210
4131000230131210000
51002243420341240
622151000114120
72151634030155
oct350054354400
988356474623
1031150168320
1112235504567
126054165940
132c2575c97b
1417170c622c
15c24abe780
hex740b1d900

31150168320 has 72 divisors (see below), whose sum is σ = 99485862336. Its totient is φ = 8306710528.

The previous prime is 31150168319. The next prime is 31150168321. The reversal of 31150168320 is 2386105113.

It is an interprime number because it is at equal distance from previous prime (31150168319) and next prime (31150168321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (31150168321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4052172 + ... + 4059851.

It is an arithmetic number, because the mean of its divisors is an integer number (1381748088).

Almost surely, 231150168320 is an apocalyptic number.

31150168320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31150168320 is an abundant number, since it is smaller than the sum of its proper divisors (68335694016).

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

31150168320 is an equidigital number, since it uses as much as digits as its factorization.

31150168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112047 (or 8112033 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 31150168320 in words is "thirty-one billion, one hundred fifty million, one hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 8112023 16224046 24336069 32448092 40560115 48672138 64896184 81120230 97344276 121680345 129792368 162240460 194688552 243360690 259584736 324480920 389377104 486721380 519169472 648961840 778754208 973442760 1038338944 1297923680 1557508416 1946885520 2076677888 2595847360 3115016832 3893771040 5191694720 6230033664 7787542080 10383389440 15575084160 31150168320