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131435151210030 = 23519569586769073
BaseRepresentation
bin11101111000101000100001…
…011111111011011000101110
3122020101002002200012120100110
4131320220201133323120232
5114211413142202210110
61143312250325040450
736453606400544433
oct3570504137733056
9566332080176313
10131435151210030
1138974375394918
12128a901a256126
135845387816605
1424656d0dd5b8a
15102dde36a6a20
hex778a217fb62e

131435151210030 has 128 divisors (see below), whose sum is σ = 332691771225600. Its totient is φ = 33140184182784.

The previous prime is 131435151210023. The next prime is 131435151210037. The reversal of 131435151210030 is 30012151534131.

It is an interprime number because it is at equal distance from previous prime (131435151210023) and next prime (131435151210037).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 131435151210030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131435151210037) 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, 1902809574 + ... + 1902878646.

It is an arithmetic number, because the mean of its divisors is an integer number (2599154462700).

Almost surely, 2131435151210030 is an apocalyptic number.

131435151210030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131435151210030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166345885612800).

131435151210030 is an abundant number, since it is smaller than the sum of its proper divisors (201256620015570).

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

131435151210030 is a wasteful number, since it uses less digits than its factorization.

131435151210030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75538.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 131435151210030 in words is "one hundred thirty-one trillion, four hundred thirty-five billion, one hundred fifty-one million, two hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 569 570 1138 1707 2845 3414 5690 5867 8535 10811 11734 17070 17601 21622 29335 32433 35202 54055 58670 64866 69073 88005 108110 111473 138146 162165 176010 207219 222946 324330 334419 345365 414438 557365 668838 690730 1036095 1114730 1312387 1672095 2072190 2624774 3338323 3344190 3937161 6561935 6676646 7874322 10014969 13123870 16691615 19685805 20029938 33383230 39302537 39371610 50074845 63428137 78605074 100149690 117907611 126856274 190284411 196512685 235815222 317140685 380568822 393025370 405251291 589538055 634281370 746748203 810502582 951422055 1179076110 1215753873 1493496406 1902844110 2026256455 2240244609 2431507746 3733741015 4052512910 4480489218 6078769365 7467482030 7699774529 11201223045 12157538730 15399549058 22402446090 23099323587 38498872645 46198647174 76997745290 115496617935 230587984579 230993235870 461175969158 691763953737 1152939922895 1383527907474 2305879845790 3458819768685 4381171707001 6917639537370 8762343414002 13143515121003 21905858535005 26287030242006 43811717070010 65717575605015 131435151210030