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100421179392 = 2113591391993
BaseRepresentation
bin101110110000110010…
…0011001100000000000
3100121012112011110202110
41131201210121200000
53121130310220032
6114044410215320
710153346640522
oct1354144314000
9317175143673
10100421179392
1139652157446
1217566a24540
139614b58211
144c08d79a12
15292b1d37cc
hex1761919800

100421179392 has 192 divisors, whose sum is σ = 274358448000. Its totient is φ = 32653246464.

The previous prime is 100421179363. The next prime is 100421179399. The reversal of 100421179392 is 293971124001.

100421179392 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 100421179392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100421179399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50385948 + ... + 50387940.

It is an arithmetic number, because the mean of its divisors is an integer number (1428950250).

Almost surely, 2100421179392 is an apocalyptic number.

100421179392 is a gapful number since it is divisible by the number (12) 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 100421179392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137179224000).

100421179392 is an abundant number, since it is smaller than the sum of its proper divisors (173937268608).

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

100421179392 is a wasteful number, since it uses less digits than its factorization.

100421179392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 100421179392 in words is "one hundred billion, four hundred twenty-one million, one hundred seventy-nine thousand, three hundred ninety-two".