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100013031200 = 2552125016289
BaseRepresentation
bin101110100100100111…
…1011011111100100000
3100120011002011101200202
41131021033123330200
53114311313444300
6113540110204332
710140262511225
oct1351117337440
9316132141622
10100013031200
1139462826695
12174721b36a8
13957b422c04
144baaa9394c
152905460ad5
hex17493dbf20

100013031200 has 36 divisors (see below), whose sum is σ = 244156814370. Its totient is φ = 40005212160.

The previous prime is 100013031199. The next prime is 100013031233. The reversal of 100013031200 is 2130310001.

It can be written as a sum of positive squares in 3 ways, for example, as 94059982864 + 5953048336 = 306692^2 + 77156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62507345 + ... + 62508944.

Almost surely, 2100013031200 is an apocalyptic number.

100013031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100013031200 is an abundant number, since it is smaller than the sum of its proper divisors (144143783170).

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

100013031200 is a wasteful number, since it uses less digits than its factorization.

100013031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125016309 (or 125016296 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100013031200 its reverse (2130310001), we get a palindrome (102143341201).

The spelling of 100013031200 in words is "one hundred billion, thirteen million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 125016289 250032578 500065156 625081445 1000130312 1250162890 2000260624 2500325780 3125407225 4000521248 5000651560 6250814450 10001303120 12501628900 20002606240 25003257800 50006515600 100013031200