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100230132100 = 22527220455129
BaseRepresentation
bin101110101011000101…
…1100111000110000100
3100120201012200021010211
41131112023213012010
53120232403211400
6114013423325204
710145540031400
oct1352613470604
9316635607124
10100230132100
113956432981a
1217512a50804
1395b43b6b97
144bcb848100
152919546dba
hex17562e7184

100230132100 has 54 divisors (see below), whose sum is σ = 253009502970. Its totient is φ = 34364615040.

The previous prime is 100230132097. The next prime is 100230132103. The reversal of 100230132100 is 1231032001.

It is an interprime number because it is at equal distance from previous prime (100230132097) and next prime (100230132103).

It can be written as a sum of positive squares in 3 ways, for example, as 12745506816 + 87484625284 = 112896^2 + 295778^2 .

It is not an unprimeable number, because it can be changed into a prime (100230132103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10222665 + ... + 10232464.

Almost surely, 2100230132100 is an apocalyptic number.

100230132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100230132100 is an abundant number, since it is smaller than the sum of its proper divisors (152779370870).

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

100230132100 is a wasteful number, since it uses less digits than its factorization.

100230132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20455157 (or 20455143 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100230132100 its reverse (1231032001), we get a palindrome (101461164101).

The spelling of 100230132100 in words is "one hundred billion, two hundred thirty million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 20455129 40910258 81820516 102275645 143185903 204551290 286371806 409102580 511378225 572743612 715929515 1002301321 1022756450 1431859030 2004602642 2045512900 2863718060 3579647575 4009205284 5011506605 7159295150 10023013210 14318590300 20046026420 25057533025 50115066050 100230132100