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100412140020 = 223514911231783
BaseRepresentation
bin101110110000100000…
…1111010100111110100
3100121011220011020001220
41131201001322213310
53121121001440040
6114043444350340
710153210051623
oct1354101724764
9317156136056
10100412140020
1139648042a95
12175639a53b0
13961301198a
144c07aa56ba
15292a4ea2d0
hex176107a9f4

100412140020 has 48 divisors (see below), whose sum is σ = 283040956800. Its totient is φ = 26596859776.

The previous prime is 100412140009. The next prime is 100412140027. The reversal of 100412140020 is 20041214001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100412140027) 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 15 ways as a sum of consecutive naturals, for example, 5606952 + ... + 5624831.

It is an arithmetic number, because the mean of its divisors is an integer number (5896686600).

Almost surely, 2100412140020 is an apocalyptic number.

100412140020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100412140020 is an abundant number, since it is smaller than the sum of its proper divisors (182628816780).

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

100412140020 is a wasteful number, since it uses less digits than its factorization.

100412140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11231944 (or 11231942 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100412140020 its reverse (20041214001), we get a palindrome (120453354021).

The spelling of 100412140020 in words is "one hundred billion, four hundred twelve million, one hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940 11231783 22463566 33695349 44927132 56158915 67390698 112317830 134781396 168476745 224635660 336953490 673906980 1673535667 3347071334 5020607001 6694142668 8367678335 10041214002 16735356670 20082428004 25103035005 33470713340 50206070010 100412140020