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122313303014331 = 311132571613687779
BaseRepresentation
bin11011110011111001001000…
…111110100011101110111011
3121001002001000101112001122010
4123303321020332203232323
5112012440121032424311
61112045542232501003
734522562446315122
oct3363711076435673
9531061011461563
10122313303014331
1135a77864939910
121187517984a763
1353331308a6450
14222bdd1746ab9
15e219b2b4ada6
hex6f3e48fa3bbb

122313303014331 has 64 divisors (see below), whose sum is σ = 192460696081920. Its totient is φ = 68118413475840.

The previous prime is 122313303014263. The next prime is 122313303014381. The reversal of 122313303014331 is 133410303313221.

It is a happy number.

It is not a de Polignac number, because 122313303014331 - 214 = 122313302997947 is a prime.

It is a super-2 number, since 2×1223133030143312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122313303014381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177494200 + ... + 178181978.

It is an arithmetic number, because the mean of its divisors is an integer number (3007198376280).

Almost surely, 2122313303014331 is an apocalyptic number.

122313303014331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122313303014331 is a deficient number, since it is larger than the sum of its proper divisors (70147393067589).

122313303014331 is a wasteful number, since it uses less digits than its factorization.

122313303014331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689676.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 122313303014331 its reverse (133410303313221), we get a palindrome (255723606327552).

The spelling of 122313303014331 in words is "one hundred twenty-two trillion, three hundred thirteen billion, three hundred three million, fourteen thousand, three hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 257 429 771 1613 2827 3341 4839 8481 10023 17743 20969 36751 53229 62907 110253 230659 414541 687779 691977 1243623 2063337 4559951 5389033 7565569 8941127 13679853 16167099 22696707 26823381 59279363 98352397 176759203 177838089 295057191 530277609 1109387527 1944351233 2297869639 3328162581 5833053699 6893608917 12203262797 14422037851 25276566029 36609788391 43266113553 75829698087 158642416361 285112594439 475927249083 855337783317 3136238538829 3706463727707 9408715616487 11119391183121 40771101004777 122313303014331