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164351031 = 31323434261
BaseRepresentation
bin10011100101111…
…00110000110111
3102110020220020020
421302330300313
5314033213111
624150340223
74033650345
oct1162746067
9373226206
10164351031
11848543a9
124705a673
1328085040
1417b82995
15e666906
hex9cbcc37

164351031 has 32 divisors (see below), whose sum is σ = 252037632. Its totient is φ = 94469760.

The previous prime is 164351027. The next prime is 164351059. The reversal of 164351031 is 130153461.

It is not a de Polignac number, because 164351031 - 22 = 164351027 is a prime.

It is a super-2 number, since 2×1643510312 = 54022522781525922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164350992 and 164351010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164351071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36441 + ... + 40701.

It is an arithmetic number, because the mean of its divisors is an integer number (7876176).

Almost surely, 2164351031 is an apocalyptic number.

164351031 is a deficient number, since it is larger than the sum of its proper divisors (87686601).

164351031 is a wasteful number, since it uses less digits than its factorization.

164351031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 164351031 is about 12819.9466067531. The cubic root of 164351031 is about 547.7606256909.

The spelling of 164351031 in words is "one hundred sixty-four million, three hundred fifty-one thousand, thirty-one".

Divisors: 1 3 13 23 39 43 69 129 299 559 897 989 1677 2967 4261 12783 12857 38571 55393 98003 166179 183223 294009 549669 1274039 2381899 3822117 4214129 7145697 12642387 54783677 164351031