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31213031213 = 74131019901
BaseRepresentation
bin11101000100011100…
…010000111100101101
32222120021211021101002
4131010130100330231
51002411013444323
622201123330045
72153326250000
oct350434207455
988507737332
1031213031213
1112267a40371
126071220925
132c3579ca50
1417215ab537
15c2a38a828
hex744710f2d

31213031213 has 40 divisors (see below), whose sum is σ = 39606296856. Its totient is φ = 24449040000.

The previous prime is 31213031189. The next prime is 31213031231.

31213031213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 15514695364 + 15698335849 = 124558^2 + 125293^2 .

It is not a de Polignac number, because 31213031213 - 216 = 31212965677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213031233) 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 39 ways as a sum of consecutive naturals, for example, 3147563 + ... + 3157463.

Almost surely, 231213031213 is an apocalyptic number.

It is an amenable number.

31213031213 is a deficient number, since it is larger than the sum of its proper divisors (8393265643).

31213031213 is an equidigital number, since it uses as much as digits as its factorization.

31213031213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10043 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 312130 and 31213, that added together give a palindrome (343343).

The spelling of 31213031213 in words is "thirty-one billion, two hundred thirteen million, thirty-one thousand, two hundred thirteen".

Divisors: 1 7 13 49 91 101 343 637 707 1313 2401 4459 4949 9191 9901 31213 34643 64337 69307 128713 242501 450359 485149 900991 1000001 3152513 3396043 6306937 7000007 13000013 23772301 44148559 49000049 91000091 309039913 343000343 637000637 2401002401 4459004459 31213031213