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31000113 = 3223149759
BaseRepresentation
bin111011001000…
…0011000110001
32011022222011100
41312100120301
530414000423
63024235013
7524332224
oct166203061
964288140
1031000113
1116553931
12a46ba69
136565281
14418d5bb
152ac5343
hex1d90631

31000113 has 12 divisors (see below), whose sum is σ = 46725120. Its totient is φ = 19768056.

The previous prime is 31000087. The next prime is 31000127. The reversal of 31000113 is 31100013.

It is not a de Polignac number, because 31000113 - 213 = 30991921 is a prime.

It is a super-2 number, since 2×310001132 = 1922014012025538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 31000095 and 31000104.

It is not an unprimeable number, because it can be changed into a prime (31000183) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 74673 + ... + 75086.

It is an arithmetic number, because the mean of its divisors is an integer number (3893760).

Almost surely, 231000113 is an apocalyptic number.

It is an amenable number.

31000113 is a deficient number, since it is larger than the sum of its proper divisors (15725007).

31000113 is a wasteful number, since it uses less digits than its factorization.

31000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149788 (or 149785 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 31000113 is about 5567.7745105203. The cubic root of 31000113 is about 314.1384469333.

Adding to 31000113 its reverse (31100013), we get a palindrome (62100126).

It can be divided in two parts, 31000 and 113, that added together give a palindrome (31113).

The spelling of 31000113 in words is "thirty-one million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 23 69 207 149759 449277 1347831 3444457 10333371 31000113