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100697299920 = 24325724182903
BaseRepresentation
bin101110111001000000…
…1101101101111010000
3100121220202201211220200
41131302001231233100
53122212002044140
6114132032335200
710163241632610
oct1356201555720
9317822654820
10100697299920
1139784000928
12176233a4500
13965a114b49
144c338d4a40
152945577030
hex177206dbd0

100697299920 has 240 divisors, whose sum is σ = 388094184192. Its totient is φ = 22920744960.

The previous prime is 100697299909. The next prime is 100697299943. The reversal of 100697299920 is 29992796001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1006972999202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1173189 + ... + 1256091.

Almost surely, 2100697299920 is an apocalyptic number.

100697299920 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 100697299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194047092096).

100697299920 is an abundant number, since it is smaller than the sum of its proper divisors (287396884272).

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

100697299920 is a wasteful number, since it uses less digits than its factorization.

100697299920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83170 (or 83161 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 100697299920 in words is "one hundred billion, six hundred ninety-seven million, two hundred ninety-nine thousand, nine hundred twenty".