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100623240505000 = 235420124648101
BaseRepresentation
bin10110111000010000101100…
…100000011010011010101000
3111012021111011122021120012101
4112320100230200122122220
5101142102344032130000
6554001402321423144
730123534463054513
oct2670205440323250
9435244148246171
10100623240505000
112a0750930280a4
12b35155b79aab4
13441b96692c255
141abc2958abd7a
15b97694b07e6a
hex5b842c81a6a8

100623240505000 has 40 divisors (see below), whose sum is σ = 235760252514930. Its totient is φ = 40249296200000.

The previous prime is 100623240504959. The next prime is 100623240505003. The reversal of 100623240505000 is 505042326001.

It can be written as a sum of positive squares in 5 ways, for example, as 18096226729156 + 82527013775844 = 4253966^2 + 9084438^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 100623240505000.

It is not an unprimeable number, because it can be changed into a prime (100623240505003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10062319051 + ... + 10062329050.

Almost surely, 2100623240505000 is an apocalyptic number.

100623240505000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100623240505000 is an abundant number, since it is smaller than the sum of its proper divisors (135137012009930).

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

100623240505000 is an equidigital number, since it uses as much as digits as its factorization.

100623240505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20124648127 (or 20124648108 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 100623240505000 in words is "one hundred trillion, six hundred twenty-three billion, two hundred forty million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 20124648101 40249296202 80498592404 100623240505 160997184808 201246481010 402492962020 503116202525 804985924040 1006232405050 2012464810100 2515581012625 4024929620200 5031162025250 10062324050500 12577905063125 20124648101000 25155810126250 50311620252500 100623240505000