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31213431213 = 3173759491571
BaseRepresentation
bin11101000100011101…
…110010100110101101
32222120022120121001220
4131010131302212231
51002411114244323
622201140053553
72153332534116
oct350435624655
988508517056
1031213431213
1112268193948
1260713942b9
132c358acb33
14172167320d
15c2a4190e3
hex7447729ad

31213431213 has 64 divisors (see below), whose sum is σ = 46198563840. Its totient is φ = 18661708800.

The previous prime is 31213431203. The next prime is 31213431217.

31213431213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31213431213 - 221 = 31211334061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213431217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54664218 + ... + 54664788.

It is an arithmetic number, because the mean of its divisors is an integer number (721852560).

Almost surely, 231213431213 is an apocalyptic number.

It is an amenable number.

31213431213 is a deficient number, since it is larger than the sum of its proper divisors (14985132627).

31213431213 is a wasteful number, since it uses less digits than its factorization.

31213431213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178.

The product of its digits is 1296, while the sum is 24.

The spelling of 31213431213 in words is "thirty-one billion, two hundred thirteen million, four hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 17 37 51 59 111 177 491 571 629 1003 1473 1713 1887 2183 3009 6549 8347 9707 18167 21127 25041 28969 29121 33689 37111 54501 63381 86907 101067 111333 280361 308839 359159 492473 572713 841083 926517 1071853 1077477 1246493 1477419 1718139 3215559 3739479 4766137 10373357 14298411 16541299 18221501 21190381 31120071 49623897 54664503 63571143 176347069 281202083 529041207 612028063 843606249 1836084189 10404477071 31213431213