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131143113044202 = 237172296481123757
BaseRepresentation
bin11101110100011000100010…
…101010101111000011101010
3122012100011022000212121211110
4131310120202222233003222
5114142122043414403302
61142530151525411150
736423530411233440
oct3564304252570352
9565304260777743
10131143113044202
1138871533468466
12128604b7269ab6
1358239863570ac
142455509464b90
1510264eeea4b6c
hex774622aaf0ea

131143113044202 has 128 divisors (see below), whose sum is σ = 318826112048640. Its totient is φ = 35105676410880.

The previous prime is 131143113044197. The next prime is 131143113044233. The reversal of 131143113044202 is 202440311341131.

It is a self number, because there is not a number n which added to its sum of digits gives 131143113044202.

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, 1059620508 + ... + 1059744264.

It is an arithmetic number, because the mean of its divisors is an integer number (2490829000380).

Almost surely, 2131143113044202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131143113044202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159413056024320).

131143113044202 is an abundant number, since it is smaller than the sum of its proper divisors (187682999004438).

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

131143113044202 is a wasteful number, since it uses less digits than its factorization.

131143113044202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130496.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131143113044202 its reverse (202440311341131), we get a palindrome (333583424385333).

The spelling of 131143113044202 in words is "one hundred thirty-one trillion, one hundred forty-three billion, one hundred thirteen million, forty-four thousand, two hundred two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 229 238 357 458 687 714 1374 1603 3206 3893 4809 6481 7786 9618 11679 12962 19443 23358 27251 38886 45367 54502 81753 90734 110177 123757 136101 163506 220354 247514 272202 330531 371271 661062 742542 771239 866299 1484149 1542478 1732598 2103869 2313717 2598897 2968298 4207738 4452447 4627434 5197794 6311607 8904894 10389043 12623214 14727083 20778086 25230533 28340353 29454166 31167129 44181249 50461066 56680706 62334258 75691599 85021059 88362498 151383198 170042118 176613731 198382471 353227462 396764942 481786001 529841193 595147413 802069117 963572002 1059682386 1190294826 1445358003 1604138234 2406207351 2890716006 3372502007 4812414702 5614483819 6745004014 10117506021 11228967638 13635174989 16843451457 20235012042 27270349978 33686902914 40905524967 81811049934 95446224923 183673827793 190892449846 286338674769 367347655586 551021483379 572677349538 1102042966758 1285716794551 2571433589102 3122455072481 3857150383653 6244910144962 7714300767306 9367365217443 18734730434886 21857185507367 43714371014734 65571556522101 131143113044202