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102200132200 = 2352511000661
BaseRepresentation
bin101111100101110011…
…0100100001001101000
3100202210111120122020111
41133023212210021220
53133301213212300
6114541115304104
710245420535045
oct1371346441150
9322714518214
10102200132200
113a385345a81
121798274b034
13983958930a
144d373341cc
1529d24809ba
hex17cb9a4268

102200132200 has 24 divisors (see below), whose sum is σ = 237615307830. Its totient is φ = 40880052800.

The previous prime is 102200132149. The next prime is 102200132201. The reversal of 102200132200 is 2231002201.

It can be written as a sum of positive squares in 3 ways, for example, as 68966112996 + 33234019204 = 262614^2 + 182302^2 .

It is not an unprimeable number, because it can be changed into a prime (102200132201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255500131 + ... + 255500530.

Almost surely, 2102200132200 is an apocalyptic number.

102200132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200132200 is an abundant number, since it is smaller than the sum of its proper divisors (135415175630).

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

102200132200 is a wasteful number, since it uses less digits than its factorization.

102200132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511000677 (or 511000668 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102200132200 its reverse (2231002201), we get a palindrome (104431134401).

The spelling of 102200132200 in words is "one hundred two billion, two hundred million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 511000661 1022001322 2044002644 2555003305 4088005288 5110006610 10220013220 12775016525 20440026440 25550033050 51100066100 102200132200