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31055013 = 3211228517
BaseRepresentation
bin111011001110…
…1110010100101
32011102202110200
41312131302211
530422230023
63025341113
7524651253
oct166356245
964382420
1031055013
1116591100
12a497799
136584262
1441a55d3
152ad6743
hex1d9dca5

31055013 has 18 divisors (see below), whose sum is σ = 49307622. Its totient is φ = 18820560.

The previous prime is 31055009. The next prime is 31055021.

It is a happy number.

31055013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 30008484 + 1046529 = 5478^2 + 1023^2 .

It is not a de Polignac number, because 31055013 - 22 = 31055009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31055053) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13170 + ... + 15347.

Almost surely, 231055013 is an apocalyptic number.

31055013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31055013 is a deficient number, since it is larger than the sum of its proper divisors (18252609).

31055013 is a wasteful number, since it uses less digits than its factorization.

31055013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28545 (or 28531 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 31055013 is about 5572.7024862269. The cubic root of 31055013 is about 314.3237799132.

It can be divided in two parts, 3105 and 5013, that added together give a palindrome (8118).

The spelling of 31055013 in words is "thirty-one million, fifty-five thousand, thirteen".

Divisors: 1 3 9 11 33 99 121 363 1089 28517 85551 256653 313687 941061 2823183 3450557 10351671 31055013