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10100012010 = 2351130606097
BaseRepresentation
bin10010110100000000…
…11111001111101010
3222001212221202210220
421122000133033222
5131141100341020
64350114150510
7505200454104
oct113200371752
928055852726
1010100012010
114313214570
121b5a582436
13c4c63658a
146bb558574
153e1a66240
hex25a01f3ea

10100012010 has 32 divisors (see below), whose sum is σ = 26443668672. Its totient is φ = 2448487680.

The previous prime is 10100011993. The next prime is 10100012081. The reversal of 10100012010 is 1021000101.

10100012010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 10100012010.

It is an unprimeable number.

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, 15302719 + ... + 15303378.

It is an arithmetic number, because the mean of its divisors is an integer number (826364646).

Almost surely, 210100012010 is an apocalyptic number.

10100012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100012010 is an abundant number, since it is smaller than the sum of its proper divisors (16343656662).

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

10100012010 is a wasteful number, since it uses less digits than its factorization.

10100012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30606118.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100012010 its reverse (1021000101), we get a palindrome (11121012111).

The spelling of 10100012010 in words is "ten billion, one hundred million, twelve thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 30606097 61212194 91818291 153030485 183636582 306060970 336667067 459091455 673334134 918182910 1010001201 1683335335 2020002402 3366670670 5050006005 10100012010