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100422950880 = 25357137269811
BaseRepresentation
bin101110110000110101…
…1001001111111100000
3100121012122111110210010
41131201223021333200
53121131233412010
6114044512204520
710153400666310
oct1354153117740
9317178443703
10100422950880
113965315738a
1217567539740
139615328635
144c092bb440
15292b433620
hex1761ac9fe0

100422950880 has 384 divisors, whose sum is σ = 365965931520. Its totient is φ = 22673571840.

The previous prime is 100422950861. The next prime is 100422950897. The reversal of 100422950880 is 88059224001.

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, 123825675 + ... + 123826485.

It is an arithmetic number, because the mean of its divisors is an integer number (953036280).

Almost surely, 2100422950880 is an apocalyptic number.

100422950880 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 100422950880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182982965760).

100422950880 is an abundant number, since it is smaller than the sum of its proper divisors (265542980640).

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

100422950880 is a wasteful number, since it uses less digits than its factorization.

100422950880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 100422950880 in words is "one hundred billion, four hundred twenty-two million, nine hundred fifty thousand, eight hundred eighty".