Search a number
-
+
131052602250300 = 22352716152704331
BaseRepresentation
bin11101110011000100001111…
…110011011101010000111100
3122012000111200011211220012110
4131303010033303131100330
5114134131212134002200
61142420422341134020
736414144440206023
oct3563041763352074
9565014604756173
10131052602250300
1138837107488355
1212846a573ba310
135818290770a03
142450da07a18ba
151023ea3d7bb50
hex77310fcdd43c

131052602250300 has 72 divisors (see below), whose sum is σ = 384519409932672. Its totient is φ = 34455144248000.

The previous prime is 131052602250299. The next prime is 131052602250301. The reversal of 131052602250300 is 3052206250131.

It is an interprime number because it is at equal distance from previous prime (131052602250299) and next prime (131052602250301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131052602250301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3076330866 + ... + 3076373465.

It is an arithmetic number, because the mean of its divisors is an integer number (5340547360176).

Almost surely, 2131052602250300 is an apocalyptic number.

131052602250300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131052602250300 is an abundant number, since it is smaller than the sum of its proper divisors (253466807682372).

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

131052602250300 is a wasteful number, since it uses less digits than its factorization.

131052602250300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6152704419 (or 6152704412 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 131052602250300 in words is "one hundred thirty-one trillion, fifty-two billion, six hundred two million, two hundred fifty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300 6152704331 12305408662 18458112993 24610817324 30763521655 36916225986 61527043310 73832451972 92290564965 123054086620 153817608275 184581129930 307635216550 369162259860 436842007501 461452824825 615270433100 873684015002 922905649650 1310526022503 1747368030004 1845811299300 2184210037505 2621052045006 4368420075010 5242104090012 6552630112515 8736840150020 10921050187525 13105260225030 21842100375050 26210520450060 32763150562575 43684200750100 65526301125150 131052602250300