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100794431088 = 243213283139359
BaseRepresentation
bin101110111011111010…
…0001111011001110000
3100122011112111121211100
41131313310033121300
53122411333243323
6114145422244400
710165531346061
oct1356764173160
9318145447740
10100794431088
1139823912a1a
121764ba26700
139674292900
144c4277a568
15294dd61943
hex1777d0f670

100794431088 has 360 divisors, whose sum is σ = 312223766400. Its totient is φ = 30334846464.

The previous prime is 100794431071. The next prime is 100794431191. The reversal of 100794431088 is 880134497001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 280764253 + ... + 280764611.

It is an arithmetic number, because the mean of its divisors is an integer number (867288240).

Almost surely, 2100794431088 is an apocalyptic number.

100794431088 is a gapful number since it is divisible by the number (18) 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 100794431088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156111883200).

100794431088 is an abundant number, since it is smaller than the sum of its proper divisors (211429335312).

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

100794431088 is a wasteful number, since it uses less digits than its factorization.

100794431088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 100794431088 in words is "one hundred billion, seven hundred ninety-four million, four hundred thirty-one thousand, eighty-eight".