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10200200200 = 235251001001
BaseRepresentation
bin10010111111111101…
…01011010000001000
3222022212110212011121
421133332223100020
5131342222401300
64404053405024
7510525162001
oct113776532010
928285425147
1010200200200
114364824423
121b88039774
13c67314928
146ca9981a8
153ea75681a
hex25ffab408

10200200200 has 24 divisors (see below), whose sum is σ = 23715465930. Its totient is φ = 4080080000.

The previous prime is 10200200159. The next prime is 10200200201. The reversal of 10200200200 is 200200201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9435013956 + 765186244 = 97134^2 + 27662^2 .

10200200200 is a modest number, since divided by 200200 gives 10200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10200200201) 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, 25500301 + ... + 25500700.

Almost surely, 210200200200 is an apocalyptic number.

10200200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200200200 is an abundant number, since it is smaller than the sum of its proper divisors (13515265730).

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

10200200200 is a wasteful number, since it uses less digits than its factorization.

10200200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51001017 (or 51001008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 10200200200 its reverse (200200201), we get a palindrome (10400400401).

Subtracting from 10200200200 its reverse (200200201), we obtain a palindrome (9999999999).

The spelling of 10200200200 in words is "ten billion, two hundred million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 51001001 102002002 204004004 255005005 408008008 510010010 1020020020 1275025025 2040040040 2550050050 5100100100 10200200200