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13314040131231 = 337261164975777
BaseRepresentation
bin1100000110111110101010…
…1000011110111010011111
31202010210212100102010022000
43001233222220132322133
53221114123233144411
644152215142253343
72542623216565200
oct301575250367237
952123770363260
1013314040131231
1142734a8615434
1215b0425127253
1375767c507388
1434058dac95a7
151814de754956
hexc1beaa1ee9f

13314040131231 has 48 divisors (see below), whose sum is σ = 23320975978080. Its totient is φ = 7483301199360.

The previous prime is 13314040131221. The next prime is 13314040131241. The reversal of 13314040131231 is 13213104041331.

13314040131231 is a `hidden beast` number, since 1 + 3 + 314 + 0 + 4 + 0 + 1 + 312 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (13314040131221) and next prime (13314040131241).

It is not a de Polignac number, because 13314040131231 - 29 = 13314040130719 is a prime.

It is a super-2 number, since 2×133140401312312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13314040131195 and 13314040131204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13314040131221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82407186 + ... + 82568591.

It is an arithmetic number, because the mean of its divisors is an integer number (485853666210).

Almost surely, 213314040131231 is an apocalyptic number.

13314040131231 is a deficient number, since it is larger than the sum of its proper divisors (10006935846849).

13314040131231 is a wasteful number, since it uses less digits than its factorization.

13314040131231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164975861 (or 164975848 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13314040131231 its reverse (13213104041331), we get a palindrome (26527144172562).

The spelling of 13314040131231 in words is "thirteen trillion, three hundred fourteen billion, forty million, one hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 61 63 147 183 189 427 441 549 1281 1323 1647 2989 3843 8967 11529 26901 80703 164975777 494927331 1154830439 1484781993 3464491317 4454345979 8083813073 10063522397 10393473951 24251439219 30190567191 31180421853 70444656779 72754317657 90571701573 211333970337 218262952971 271715104719 493112597453 634001911011 1479337792359 1902005733033 4438013377077 13314040131231