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10200032130 = 2351720000063
BaseRepresentation
bin10010111111111100…
…00010001110000010
3222022212011022121210
421133332002032002
5131342202012010
64404050030550
7510523562001
oct113776021602
928285138553
1010200032130
11436471a122
121b87b78456
13c67286292
146ca952c38
153ea721b20
hex25ff82382

10200032130 has 32 divisors (see below), whose sum is σ = 25920082944. Its totient is φ = 2560007936.

The previous prime is 10200032039. The next prime is 10200032131. The reversal of 10200032130 is 3123000201.

It is a happy number.

10200032130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10200032130 is a modest number, since divided by 32130 gives 10200 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10200032131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999522 + ... + 10000541.

It is an arithmetic number, because the mean of its divisors is an integer number (810002592).

Almost surely, 210200032130 is an apocalyptic number.

10200032130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200032130 is an abundant number, since it is smaller than the sum of its proper divisors (15720050814).

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

10200032130 is a wasteful number, since it uses less digits than its factorization.

10200032130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20000090.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10200032130 its reverse (3123000201), we get a palindrome (13323032331).

The spelling of 10200032130 in words is "ten billion, two hundred million, thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 20000063 40000126 60000189 100000315 120000378 200000630 300000945 340001071 600001890 680002142 1020003213 1700005355 2040006426 3400010710 5100016065 10200032130