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31231122013 = 7213109144939
BaseRepresentation
bin11101000101100001…
…010001101001011101
32222121112212101021201
4131011201101221131
51002430131401023
622203011155501
72153636104600
oct350541215135
988545771251
1031231122013
1112277177243
1260772a5b91
132c39465170
141723b5a337
15c2bc60bad
hex745851a5d

31231122013 has 24 divisors (see below), whose sum is σ = 39161435040. Its totient is φ = 24687139680.

The previous prime is 31231122001. The next prime is 31231122029. The reversal of 31231122013 is 31022113213.

It is not a de Polignac number, because 31231122013 - 25 = 31231121981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31231122053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672498 + ... + 717436.

It is an arithmetic number, because the mean of its divisors is an integer number (1631726460).

Almost surely, 231231122013 is an apocalyptic number.

It is an amenable number.

31231122013 is a deficient number, since it is larger than the sum of its proper divisors (7930313027).

31231122013 is a wasteful number, since it uses less digits than its factorization.

31231122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46057 (or 46050 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31231122013 its reverse (31022113213), we get a palindrome (62253235226).

The spelling of 31231122013 in words is "thirty-one billion, two hundred thirty-one million, one hundred twenty-two thousand, thirteen".

Divisors: 1 7 13 49 91 637 1091 7637 14183 44939 53459 99281 314573 584207 694967 2202011 4089449 28626143 49028449 343199143 637369837 2402394001 4461588859 31231122013