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100310220200 = 23521573194593
BaseRepresentation
bin101110101101011110…
…1000111110110101000
3100120220210101011100202
41131122331013312220
53120413404021300
6114025404051332
710150531542401
oct1353275076650
9316823334322
10100310220200
11395a5560133
1217535833b48
1395c7b783a8
144bd83349a8
1529215b6ad5
hex175af47da8

100310220200 has 48 divisors (see below), whose sum is σ = 234706821180. Its totient is φ = 39868508160.

The previous prime is 100310220173. The next prime is 100310220203. The reversal of 100310220200 is 2022013001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 53815648324 + 46494571876 = 231982^2 + 215626^2 .

It is not an unprimeable number, because it can be changed into a prime (100310220203) 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, 1565897 + ... + 1628696.

Almost surely, 2100310220200 is an apocalyptic number.

100310220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100310220200 is an abundant number, since it is smaller than the sum of its proper divisors (134396600980).

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

100310220200 is a wasteful number, since it uses less digits than its factorization.

100310220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194766 (or 3194757 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100310220200 its reverse (2022013001), we get a palindrome (102332233201).

The spelling of 100310220200 in words is "one hundred billion, three hundred ten million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 7850 15700 31400 3194593 6389186 12778372 15972965 25556744 31945930 63891860 79864825 127783720 159729650 319459300 501551101 638918600 1003102202 2006204404 2507755505 4012408808 5015511010 10031022020 12538777525 20062044040 25077555050 50155110100 100310220200