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31002016 = 251756989
BaseRepresentation
bin111011001000…
…0110110100000
32011100001202211
41312100312200
530414031031
63024251504
7524340613
oct166206640
964301684
1031002016
1116555301
12a470b94
1365660b6
14419017a
152ac5bb1
hex1d90da0

31002016 has 24 divisors (see below), whose sum is σ = 64626660. Its totient is φ = 14588928.

The previous prime is 31002007. The next prime is 31002029. The reversal of 31002016 is 61020013.

It can be written as a sum of positive squares in 2 ways, for example, as 27081616 + 3920400 = 5204^2 + 1980^2 .

It is a super-2 number, since 2×310020162 = 1922249992128512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31001987 and 31002005.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 27951 + ... + 29038.

Almost surely, 231002016 is an apocalyptic number.

It is an amenable number.

31002016 is an abundant number, since it is smaller than the sum of its proper divisors (33624644).

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

31002016 is a wasteful number, since it uses less digits than its factorization.

31002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57016 (or 57008 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 31002016 is about 5567.9454020312. The cubic root of 31002016 is about 314.1448747941.

Adding to 31002016 its reverse (61020013), we get a palindrome (92022029).

The spelling of 31002016 in words is "thirty-one million, two thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 56989 113978 227956 455912 911824 968813 1823648 1937626 3875252 7750504 15501008 31002016