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131102300005434 = 2338350358152779
BaseRepresentation
bin11101110011110010100010…
…000001010110010000111010
3122012012020221200221102211000
4131303302202001112100322
5114140440002300133214
61142455322024345430
736420554132152302
oct3563624201262072
9565166850842730
10131102300005434
113885619a58335a
1212854607015276
13581cb80a07c04
142453556cd6602
151025411e1c809
hex773ca205643a

131102300005434 has 64 divisors (see below), whose sum is σ = 295434731289600. Its totient is φ = 43088417164656.

The previous prime is 131102300005421. The next prime is 131102300005511. The reversal of 131102300005434 is 434500003201131.

It is a happy number.

131102300005434 is a `hidden beast` number, since 1 + 3 + 110 + 2 + 3 + 0 + 0 + 0 + 0 + 543 + 4 = 666.

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 = 131102300005398 and 131102300005407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26821944 + ... + 31330835.

It is an arithmetic number, because the mean of its divisors is an integer number (4616167676400).

Almost surely, 2131102300005434 is an apocalyptic number.

131102300005434 is an abundant number, since it is smaller than the sum of its proper divisors (164332431284166).

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

131102300005434 is a wasteful number, since it uses less digits than its factorization.

131102300005434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58153376 (or 58153370 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 131102300005434 its reverse (434500003201131), we get a palindrome (565602303206565).

The spelling of 131102300005434 in words is "one hundred thirty-one trillion, one hundred two billion, three hundred million, five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 503 747 1006 1494 1509 2241 3018 4482 4527 9054 13581 27162 41749 83498 125247 250494 375741 751482 1127223 2254446 58152779 116305558 174458337 348916674 523375011 1046750022 1570125033 3140250066 4826680657 9653361314 14480041971 28960083942 29250847837 43440125913 58501695674 86880251826 87752543511 130320377739 175505087022 260640755478 263257630533 526515261066 789772891599 1579545783198 2427820370471 4855640740942 7283461111413 14566922222826 21850383334239 43700766668478 65551150002717 131102300005434