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100704370400 = 2552648119423
BaseRepresentation
bin101110111001001110…
…0101011111011100000
3100121221021001001210022
41131302130223323200
53122220304323100
6114132444053012
710163356011344
oct1356234537340
9317837031708
10100704370400
1139787a9aaa7
1217625834168
13965b71c16a
144c34815624
152945ec1e85
hex177272bee0

100704370400 has 72 divisors (see below), whose sum is σ = 245895136704. Its totient is φ = 40273459200.

The previous prime is 100704370373. The next prime is 100704370409. The reversal of 100704370400 is 4073407001.

It is a self number, because there is not a number n which added to its sum of digits gives 100704370400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100704370409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5175089 + ... + 5194511.

It is an arithmetic number, because the mean of its divisors is an integer number (3415210232).

Almost surely, 2100704370400 is an apocalyptic number.

100704370400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100704370400 is an abundant number, since it is smaller than the sum of its proper divisors (145190766304).

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

100704370400 is a wasteful number, since it uses less digits than its factorization.

100704370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25924 (or 25911 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

Adding to 100704370400 its reverse (4073407001), we get a palindrome (104777777401).

The spelling of 100704370400 in words is "one hundred billion, seven hundred four million, three hundred seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 6481 12962 19423 25924 32405 38846 51848 64810 77692 97115 103696 129620 155384 162025 194230 207392 259240 310768 324050 388460 485575 518480 621536 648100 776920 971150 1036960 1296200 1553840 1942300 2592400 3107680 3884600 5184800 7769200 15538400 125880463 251760926 503521852 629402315 1007043704 1258804630 2014087408 2517609260 3147011575 4028174816 5035218520 6294023150 10070437040 12588046300 20140874080 25176092600 50352185200 100704370400