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100134444200 = 2352771524603
BaseRepresentation
bin101110101000001111…
…0100101110010101000
3100120110112121211000112
41131100132211302220
53120033404203300
6114000124353452
710143265506050
oct1352036456250
9316415554015
10100134444200
113951531300a
12174a69a5888
13959a62301b
144bbcc5a560
152910e44e35
hex17507a5ca8

100134444200 has 48 divisors (see below), whose sum is σ = 266071526880. Its totient is φ = 34331808960.

The previous prime is 100134444167. The next prime is 100134444203. The reversal of 100134444200 is 2444431001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100134444203) 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, 35760902 + ... + 35763701.

It is an arithmetic number, because the mean of its divisors is an integer number (5543156810).

Almost surely, 2100134444200 is an apocalyptic number.

100134444200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100134444200 is an abundant number, since it is smaller than the sum of its proper divisors (165937082680).

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

100134444200 is a wasteful number, since it uses less digits than its factorization.

100134444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71524626 (or 71524617 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 100134444200 its reverse (2444431001), we get a palindrome (102578875201).

The spelling of 100134444200 in words is "one hundred billion, one hundred thirty-four million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 71524603 143049206 286098412 357623015 500672221 572196824 715246030 1001344442 1430492060 1788115075 2002688884 2503361105 2860984120 3576230150 4005377768 5006722210 7152460300 10013444420 12516805525 14304920600 20026888840 25033611050 50067222100 100134444200