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102311430100 = 225211427321767
BaseRepresentation
bin101111101001000111…
…1001000011111010100
3100210002021000011020221
41133102033020133110
53134013211230400
6115000133004124
710251241543525
oct1372217103724
9323067004227
10102311430100
113a432153810
12179b3a83644
139856657369
144d4802684c
1529dc117c1a
hex17d23c87d4

102311430100 has 72 divisors (see below), whose sum is σ = 242266868928. Its totient is φ = 37193740800.

The previous prime is 102311430097. The next prime is 102311430107. The reversal of 102311430100 is 1034113201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102311430107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4689417 + ... + 4711183.

It is an arithmetic number, because the mean of its divisors is an integer number (3364817624).

Almost surely, 2102311430100 is an apocalyptic number.

102311430100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102311430100 is an abundant number, since it is smaller than the sum of its proper divisors (139955438828).

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

102311430100 is a wasteful number, since it uses less digits than its factorization.

102311430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26065 (or 26058 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102311430100 its reverse (1034113201), we get a palindrome (103345543301).

The spelling of 102311430100 in words is "one hundred two billion, three hundred eleven million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 4273 8546 17092 21365 21767 42730 43534 47003 85460 87068 94006 106825 108835 188012 213650 217670 235015 239437 427300 435340 470030 478874 544175 940060 957748 1088350 1175075 1197185 2176700 2350150 2394370 4700300 4788740 5985925 11971850 23943700 93010391 186020782 372041564 465051955 930103910 1023114301 1860207820 2046228602 2325259775 4092457204 4650519550 5115571505 9301039100 10231143010 20462286020 25577857525 51155715050 102311430100