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10042010019 = 33401927497
BaseRepresentation
bin10010101101000110…
…01110100110100011
3221220211210222001000
421112203032212203
5131031223310034
64340243043043
7503564451066
oct112643164643
927824728030
1010042010019
1142934a8838
121b43070483
13c40608b82
146b397a8dd
153db90a599
hex2568ce9a3

10042010019 has 16 divisors (see below), whose sum is σ = 14914167840. Its totient is φ = 6677971200.

The previous prime is 10042009963. The next prime is 10042010023. The reversal of 10042010019 is 91001024001.

10042010019 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10042010019 - 27 = 10042009891 is a prime.

It is a super-2 number, since 2×100420100192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10042009983 and 10042010010.

It is not an unprimeable number, because it can be changed into a prime (10042010089) 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, 452922 + ... + 474575.

It is an arithmetic number, because the mean of its divisors is an integer number (932135490).

Almost surely, 210042010019 is an apocalyptic number.

10042010019 is a deficient number, since it is larger than the sum of its proper divisors (4872157821).

10042010019 is an equidigital number, since it uses as much as digits as its factorization.

10042010019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927907 (or 927901 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 10042010019 in words is "ten billion, forty-two million, ten thousand, nineteen".

Divisors: 1 3 9 27 401 1203 3609 10827 927497 2782491 8347473 25042419 371926297 1115778891 3347336673 10042010019