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210164031 = 33711101089
BaseRepresentation
bin11001000011011…
…01100100111111
3112122110102212000
430201231210333
5412300222111
632504313343
75131236060
oct1441554477
9478412760
10210164031
11a86a5390
125a472853
133470571c
141dcaa567
15136b5c56
hexc86d93f

210164031 has 32 divisors (see below), whose sum is σ = 388185600. Its totient is φ = 109175040.

The previous prime is 210164021. The next prime is 210164039. The reversal of 210164031 is 130461012.

It is a happy number.

210164031 is a `hidden beast` number, since 21 + 0 + 1 + 640 + 3 + 1 = 666.

It is not a de Polignac number, because 210164031 - 29 = 210163519 is a prime.

It is a super-2 number, since 2×2101640312 = 88337839852337922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210163995 and 210164013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210164039) 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, 48466 + ... + 52623.

It is an arithmetic number, because the mean of its divisors is an integer number (12130800).

Almost surely, 2210164031 is an apocalyptic number.

210164031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

210164031 is a deficient number, since it is larger than the sum of its proper divisors (178021569).

210164031 is a wasteful number, since it uses less digits than its factorization.

210164031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101116 (or 101110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 210164031 is about 14497.0352486293. The cubic root of 210164031 is about 594.5469149140.

The spelling of 210164031 in words is "two hundred ten million, one hundred sixty-four thousand, thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 101089 303267 707623 909801 1111979 2122869 2729403 3335937 6368607 7783853 10007811 19105821 23351559 30023433 70054677 210164031