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131403021042342 = 23789443162148953
BaseRepresentation
bin11101111000001010100110…
…011001000100001010100110
3122020021000011110121221020210
4131320022212121010022212
5114210401341341323332
61143245414200040250
736451361233614240
oct3570124631041246
9566230143557223
10131403021042342
1138961787788325
12128a2951a63086
13584233703027a
142463d23acb090
15102d162a56ecc
hex7782a66442a6

131403021042342 has 128 divisors (see below), whose sum is σ = 304604100910080. Its totient is φ = 37014479124480.

The previous prime is 131403021042329. The next prime is 131403021042361. The reversal of 131403021042342 is 243240120304131.

It is a congruent number.

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, 2684244538 + ... + 2684293490.

It is an arithmetic number, because the mean of its divisors is an integer number (2379719538360).

Almost surely, 2131403021042342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131403021042342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152302050455040).

131403021042342 is an abundant number, since it is smaller than the sum of its proper divisors (173201079867738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131403021042342 is a wasteful number, since it uses less digits than its factorization.

131403021042342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51118.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131403021042342 its reverse (243240120304131), we get a palindrome (374643141346473).

The spelling of 131403021042342 in words is "one hundred thirty-one trillion, four hundred three billion, twenty-one million, forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 89 178 267 443 534 623 886 1246 1329 1621 1869 2658 3101 3242 3738 4863 6202 9303 9726 11347 18606 22694 34041 39427 48953 68082 78854 97906 118281 144269 146859 236562 275989 288538 293718 342671 432807 551978 685342 718103 827967 865614 1009883 1028013 1436206 1655934 2019766 2056026 2154309 3029649 4308618 4356817 5026721 6059298 8713634 10053442 13070451 15080163 21686179 26140902 30160326 30497719 43372358 60995438 63911167 65058537 79352813 91493157 127822334 130117074 151803253 158705626 182986314 191733501 238058439 303606506 383467002 447378169 455409759 476116878 555469691 894756338 910819518 1110939382 1342134507 1666409073 1930069931 2684269014 3332818146 3860139862 5790209793 7062400357 11580419586 13510489517 14124800714 21187201071 27020979034 35153296159 40531468551 42374402142 49436802499 70306592318 81062937102 98873604998 105459888477 148310407497 210919776954 246073073113 296620814994 492146146226 738219219339 1476438438678 3128643358151 6257286716302 9385930074453 18771860148906 21900503507057 43801007014114 65701510521171 131403021042342