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100180986993 = 3211131220777
BaseRepresentation
bin101110101001101000…
…0001000110001110001
3100120120210012102201200
41131103100020301301
53120132313040433
6114004510121413
710144402224243
oct1352320106161
9316523172650
10100180986993
113953961232a
12174ba4b0269
1395a716a939
144bc50d4093
15291508a613
hex1753408c71

100180986993 has 6 divisors (see below), whose sum is σ = 144705870114. Its totient is φ = 66787324656.

The previous prime is 100180986973. The next prime is 100180987009. The reversal of 100180986993 is 399689081001.

It can be written as a sum of positive squares in only one way, i.e., 92645358129 + 7535628864 = 304377^2 + 86808^2 .

It is not a de Polignac number, because 100180986993 - 26 = 100180986929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100180986973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5565610380 + ... + 5565610397.

It is an arithmetic number, because the mean of its divisors is an integer number (24117645019).

Almost surely, 2100180986993 is an apocalyptic number.

It is an amenable number.

100180986993 is a deficient number, since it is larger than the sum of its proper divisors (44524883121).

100180986993 is a wasteful number, since it uses less digits than its factorization.

100180986993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11131220783 (or 11131220780 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 100180986993 in words is "one hundred billion, one hundred eighty million, nine hundred eighty-six thousand, nine hundred ninety-three".

Divisors: 1 3 9 11131220777 33393662331 100180986993