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100422512640 = 212335181609
BaseRepresentation
bin101110110000110100…
…1011111000000000000
3100121012121200012122000
41131201221133000000
53121131130401030
6114044454544000
710153364162532
oct1354151370000
9317177605560
10100422512640
11396529880aa
1217567368000
139615204018
144c09205852
15292b398860
hex1761a5f000

100422512640 has 208 divisors, whose sum is σ = 357016202400. Its totient is φ = 26779189248.

The previous prime is 100422512629. The next prime is 100422512647. The reversal of 100422512640 is 46215224001.

100422512640 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 2 + 5 + 12 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100422512647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462156 + ... + 643764.

It is an arithmetic number, because the mean of its divisors is an integer number (1716424050).

Almost surely, 2100422512640 is an apocalyptic number.

100422512640 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 100422512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178508101200).

100422512640 is an abundant number, since it is smaller than the sum of its proper divisors (256593689760).

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

100422512640 is an equidigital number, since it uses as much as digits as its factorization.

100422512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181647 (or 181619 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 100422512640 its reverse (46215224001), we get a palindrome (146637736641).

The spelling of 100422512640 in words is "one hundred billion, four hundred twenty-two million, five hundred twelve thousand, six hundred forty".