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31331330301313 = 7172232334616269
BaseRepresentation
bin1110001111110111001001…
…10100000001110110000001
311002221020122021112102102101
413013323210310001312001
513101313031024120223
6150345225303550401
76412420400262130
oct707734464016601
9132836567472371
1031331330301313
119a8a5a7170349
12362027b15b401
1314636bb3b5903
147a463190b917
15394eee5014ad
hex1c7ee4d01d81

31331330301313 has 96 divisors (see below), whose sum is σ = 39954433559040. Its totient is φ = 24016938147840.

The previous prime is 31331330301287. The next prime is 31331330301319. The reversal of 31331330301313 is 31310303313313.

It is not a de Polignac number, because 31331330301313 - 221 = 31331328204161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31331330301319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4997816343 + ... + 4997822611.

It is an arithmetic number, because the mean of its divisors is an integer number (416192016240).

Almost surely, 231331330301313 is an apocalyptic number.

It is an amenable number.

31331330301313 is a deficient number, since it is larger than the sum of its proper divisors (8623103257727).

31331330301313 is a wasteful number, since it uses less digits than its factorization.

31331330301313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7010 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 28.

Adding to 31331330301313 its reverse (31310303313313), we get a palindrome (62641633614626).

The spelling of 31331330301313 in words is "thirty-one trillion, three hundred thirty-one billion, three hundred thirty million, three hundred one thousand, three hundred thirteen".

Divisors: 1 7 17 23 119 161 233 289 391 461 1631 2023 2737 3227 3961 5359 6269 6647 7837 10603 27727 37513 43883 46529 54859 67337 74221 91103 106573 107413 133229 144187 180251 471359 637721 746011 751891 932603 1009309 1261757 1460677 1548751 1811741 1826021 2451179 2470499 2890009 3064267 10224739 10841257 12682187 12782147 17158253 17293493 20230063 21449869 24831509 31042357 33595571 41670043 41998483 49130153 66470207 173820563 217296499 235168997 291690301 293989381 343911071 422135653 465291449 571124707 673372097 713974211 835212601 1129993519 2954949571 3997872949 4713604679 4997819477 5846488207 7909954633 9709120019 11447325649 15487558231 19209889823 67963840133 80131279543 108412907617 134469228761 194604536033 263288489927 1362231752231 1843019429489 4475904328759 31331330301313