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10042011300 = 2235233473371
BaseRepresentation
bin10010101101000110…
…01110111010100100
3221220211211000210110
421112203032322210
5131031223330200
64340243053020
7503564454606
oct112643167244
927824730713
1010042011300
1142934a97a2
121b43071170
13c40609629
146b397b176
153db90ab50
hex2568ceea4

10042011300 has 36 divisors (see below), whose sum is σ = 29054886896. Its totient is φ = 2677869600.

The previous prime is 10042011289. The next prime is 10042011349. The reversal of 10042011300 is 311024001.

It is a happy number.

10042011300 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 (12).

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 11 ways as a sum of consecutive naturals, for example, 16736386 + ... + 16736985.

Almost surely, 210042011300 is an apocalyptic number.

10042011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042011300 is an abundant number, since it is smaller than the sum of its proper divisors (19012875596).

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

10042011300 is a wasteful number, since it uses less digits than its factorization.

10042011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33473388 (or 33473381 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10042011300 its reverse (311024001), we get a palindrome (10353035301).

The spelling of 10042011300 in words is "ten billion, forty-two million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 33473371 66946742 100420113 133893484 167366855 200840226 334733710 401680452 502100565 669467420 836834275 1004201130 1673668550 2008402260 2510502825 3347337100 5021005650 10042011300