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10022013819 = 33596291283
BaseRepresentation
bin10010101010101101…
…11100101101111011
3221212110012001102000
421111112330231323
5131011113420234
64334250312043
7503232466116
oct112526745573
927773161360
1010022013819
114283190354
121b38428623
13c394273bc
146b105357d
153d9caa899
hex2555bcb7b

10022013819 has 16 divisors (see below), whose sum is σ = 15099081600. Its totient is φ = 6568098408.

The previous prime is 10022013817. The next prime is 10022013857. The reversal of 10022013819 is 91831022001.

It is not a de Polignac number, because 10022013819 - 21 = 10022013817 is a prime.

It is a super-2 number, since 2×100220138192 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10022013792 and 10022013801.

It is not an unprimeable number, because it can be changed into a prime (10022013811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3144049 + ... + 3147234.

It is an arithmetic number, because the mean of its divisors is an integer number (943692600).

Almost surely, 210022013819 is an apocalyptic number.

10022013819 is a deficient number, since it is larger than the sum of its proper divisors (5077067781).

10022013819 is an equidigital number, since it uses as much as digits as its factorization.

10022013819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291351 (or 6291345 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10022013819 in words is "ten billion, twenty-two million, thirteen thousand, eight hundred nineteen".

Divisors: 1 3 9 27 59 177 531 1593 6291283 18873849 56621547 169864641 371185697 1113557091 3340671273 10022013819