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31324242313 = 71317101433463
BaseRepresentation
bin11101001011000100…
…100000000110001001
32222212001002101022201
4131023010200012021
51003123001223223
622220135120201
72156146444420
oct351304400611
988761071281
1031324242313
1112314799971
1260a2513061
132c5283a430
14173227a2b7
15c35006ead
hex74b120189

31324242313 has 64 divisors (see below), whose sum is σ = 41409349632. Its totient is φ = 22992076800.

The previous prime is 31324242311. The next prime is 31324242349.

It is a happy number.

31324242313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31324242313 - 21 = 31324242311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31324242311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67654720 + ... + 67655182.

It is an arithmetic number, because the mean of its divisors is an integer number (647021088).

Almost surely, 231324242313 is an apocalyptic number.

It is an amenable number.

31324242313 is a deficient number, since it is larger than the sum of its proper divisors (10085107319).

31324242313 is a wasteful number, since it uses less digits than its factorization.

31324242313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034.

The product of its digits is 10368, while the sum is 28.

The spelling of 31324242313 in words is "thirty-one billion, three hundred twenty-four million, two hundred forty-two thousand, three hundred thirteen".

Divisors: 1 7 13 17 91 101 119 221 433 463 707 1313 1547 1717 3031 3241 5629 6019 7361 7871 9191 12019 22321 39403 42133 43733 46763 51527 55097 95693 102323 156247 200479 306131 327341 568529 607919 669851 716261 743461 794971 1403353 2606227 3408143 3979703 4255433 5204227 5564797 9664993 10334623 18243589 20248379 23857001 44305859 67654951 72342361 141738653 263228927 310141013 344222443 1842602489 2409557101 4474891759 31324242313