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100404028089 = 3319260975017
BaseRepresentation
bin101110110000010001…
…0111110001010111001
3100121011022220002121000
41131200202332022321
53121111412344324
6114042554435213
710153051104651
oct1354042761271
9317138802530
10100404028089
1139643502412
1217561132b09
139611431611
144c06993361
1529299469c9
hex17608be2b9

100404028089 has 32 divisors (see below), whose sum is σ = 156637584000. Its totient is φ = 63387919872.

The previous prime is 100404028069. The next prime is 100404028093. The reversal of 100404028089 is 980820404001.

It is not a de Polignac number, because 100404028089 - 25 = 100404028057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100404028069) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1300909 + ... + 1375925.

It is an arithmetic number, because the mean of its divisors is an integer number (4894924500).

Almost surely, 2100404028089 is an apocalyptic number.

100404028089 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100404028089 is a deficient number, since it is larger than the sum of its proper divisors (56233555911).

100404028089 is a wasteful number, since it uses less digits than its factorization.

100404028089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77654 (or 77648 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 100404028089 in words is "one hundred billion, four hundred four million, twenty-eight thousand, eighty-nine".

Divisors: 1 3 9 19 27 57 171 513 2609 7827 23481 49571 70443 75017 148713 225051 446139 675153 1338417 1425323 2025459 4275969 12827907 38483721 195719353 587158059 1761474177 3718667707 5284422531 11156003121 33468009363 100404028089