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31007093 = 13612641
BaseRepresentation
bin111011001001…
…0000101110101
32011100022201212
41312102011311
530414211333
63024331205
7524361455
oct166220565
964308655
1031007093
11165590a7
12a473b05
1365684c0
144191d65
152ac7448
hex1d92175

31007093 has 12 divisors (see below), whose sum is σ = 34001604. Its totient is φ = 28108800.

The previous prime is 31007089. The next prime is 31007113. The reversal of 31007093 is 39070013.

It can be written as a sum of positive squares in 6 ways, for example, as 8898289 + 22108804 = 2983^2 + 4702^2 .

It is not a de Polignac number, because 31007093 - 22 = 31007089 is a prime.

It is a super-2 number, since 2×310070932 = 1922879632621298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31007023) 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 11 ways as a sum of consecutive naturals, for example, 48053 + ... + 48693.

It is an arithmetic number, because the mean of its divisors is an integer number (2833467).

Almost surely, 231007093 is an apocalyptic number.

It is an amenable number.

31007093 is a deficient number, since it is larger than the sum of its proper divisors (2994511).

31007093 is an equidigital number, since it uses as much as digits as its factorization.

31007093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 23.

The square root of 31007093 is about 5568.4012966021. The cubic root of 31007093 is about 314.1620223507.

The spelling of 31007093 in words is "thirty-one million, seven thousand, ninety-three".

Divisors: 1 13 61 641 793 3721 8333 39101 48373 508313 2385161 31007093