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100202213000 = 2353100202213
BaseRepresentation
bin101110101010010000…
…1000110111010001000
3100120122021010211100002
41131110201012322020
53120203231304000
6114010545102132
710145050520531
oct1352441067210
9316567124302
10100202213000
113954a59a78a
1217505627948
1395ab6900c6
144bc7c5b688
152916d7e8d5
hex1754846e88

100202213000 has 32 divisors (see below), whose sum is σ = 234473180760. Its totient is φ = 40080884800.

The previous prime is 100202212961. The next prime is 100202213063. The reversal of 100202213000 is 312202001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3726125764 + 96476087236 = 61042^2 + 310606^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50100107 + ... + 50102106.

Almost surely, 2100202213000 is an apocalyptic number.

100202213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202213000 is an abundant number, since it is smaller than the sum of its proper divisors (134270967760).

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

100202213000 is a wasteful number, since it uses less digits than its factorization.

100202213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100202234 (or 100202220 counting only the distinct ones).

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

Adding to 100202213000 its reverse (312202001), we get a palindrome (100514415001).

The spelling of 100202213000 in words is "one hundred billion, two hundred two million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 100202213 200404426 400808852 501011065 801617704 1002022130 2004044260 2505055325 4008088520 5010110650 10020221300 12525276625 20040442600 25050553250 50101106500 100202213000