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100394400000 = 2835559709
BaseRepresentation
bin101110101111111111…
…0001111100100000000
3100121010122202221100010
41131133332033210000
53121101431300000
6114042012224520
710152603214506
oct1353776174400
9317118687303
10100394400000
1139639026714
1217559a6b140
13960c44011b
144c055a8676
152928b93d50
hex175ff8f900

100394400000 has 432 divisors, whose sum is σ = 340112606400. Its totient is φ = 26280960000.

The previous prime is 100394399993. The next prime is 100394400013. The reversal of 100394400000 is 4493001.

It is a self number, because there is not a number n which added to its sum of digits gives 100394400000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141599646 + ... + 141600354.

It is an arithmetic number, because the mean of its divisors is an integer number (787297700).

Almost surely, 2100394400000 is an apocalyptic number.

100394400000 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 100394400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170056303200).

100394400000 is an abundant number, since it is smaller than the sum of its proper divisors (239718206400).

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

100394400000 is an frugal number, since it uses more digits than its factorization.

100394400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100394400000 its reverse (4493001), we get a palindrome (100398893001).

The spelling of 100394400000 in words is "one hundred billion, three hundred ninety-four million, four hundred thousand".