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100536218420 = 225113183971831
BaseRepresentation
bin101110110100001101…
…1001111001100110100
3100121111112122001122012
41131220123033030310
53121344232442140
6114104040023352
710156244520341
oct1355033171464
9317445561565
10100536218420
113970108aa20
1217599461b58
139632936051
144c1a3637c8
152936359265
hex17686cf334

100536218420 has 192 divisors, whose sum is σ = 243226755072. Its totient is φ = 34573824000.

The previous prime is 100536218407. The next prime is 100536218479. The reversal of 100536218420 is 24812635001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54906905 + ... + 54908735.

It is an arithmetic number, because the mean of its divisors is an integer number (1266806016).

Almost surely, 2100536218420 is an apocalyptic number.

100536218420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100536218420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121613377536).

100536218420 is an abundant number, since it is smaller than the sum of its proper divisors (142690536652).

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

100536218420 is a wasteful number, since it uses less digits than its factorization.

100536218420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 100536218420 in words is "one hundred billion, five hundred thirty-six million, two hundred eighteen thousand, four hundred twenty".