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131413441213202 = 217193197663710193
BaseRepresentation
bin11101111000010100010011…
…011110110111001100010010
3122020022000001200000110102212
4131320110103132313030102
5114211034211422310302
61143254300152312122
736452210402611151
oct3570242336671422
9566260050013385
10131413441213202
1138966144694985
12128a497b6a2642
135843307aa2145
142464631985598
15102d572760052
hex7785137b7312

131413441213202 has 128 divisors (see below), whose sum is σ = 229182623631360. Its totient is φ = 56098437857280.

The previous prime is 131413441213189. The next prime is 131413441213231. The reversal of 131413441213202 is 202312144314131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12892513418 + ... + 12892523610.

It is an arithmetic number, because the mean of its divisors is an integer number (1790489247120).

Almost surely, 2131413441213202 is an apocalyptic number.

131413441213202 is a deficient number, since it is larger than the sum of its proper divisors (97769182418158).

131413441213202 is a wasteful number, since it uses less digits than its factorization.

131413441213202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16996.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131413441213202 its reverse (202312144314131), we get a palindrome (333725585527333).

The spelling of 131413441213202 in words is "one hundred thirty-one trillion, four hundred thirteen billion, four hundred forty-one million, two hundred thirteen thousand, two hundred two".

Divisors: 1 2 17 19 31 34 38 62 97 194 323 527 589 646 1054 1178 1649 1843 3007 3298 3686 6014 6637 10013 10193 13274 20026 20386 31331 51119 57133 62662 102238 112829 114266 126103 173281 193667 205747 225658 252206 315983 346562 387334 411494 631966 643789 971261 988721 1287578 1942522 1977442 2143751 3292339 3497699 3909193 4287502 5371711 6003677 6584678 6995398 7818386 10743422 10944413 12007354 12231991 16808257 18785699 19957459 21888826 24463982 30650351 33616514 37571398 39914918 61300702 66456281 67650941 102062509 132912562 135301882 204125018 207943847 319356883 339276803 379191721 415887694 521055967 582356669 638713766 678553606 758383442 1042111934 1150065997 1164713338 1285367879 2097179171 2300131994 2570735758 4194358342 6446259257 6562141277 9900063373 12892518514 13124282554 19800126746 21851253943 35652045907 39846404249 43702507886 71304091814 79692808498 111556401709 124680684263 203426379587 223112803418 249361368526 406852759174 677388872233 1354777744466 2119571632471 3458248452979 3865101212153 4239143264942 6916496905958 7730202424306 65706720606601 131413441213202