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22002331013 = 1353157120327
BaseRepresentation
bin10100011111011100…
…001110110110000101
32002210101021020000122
4110133130032312011
5330030044043023
614035134151325
71406144504435
oct243734166605
962711236018
1022002331013
119370818a43
124320652545
1320c8489ca0
1410ca1ca2c5
1588b93e2c8
hex51f70ed85

22002331013 has 16 divisors (see below), whose sum is σ = 24158445696. Its totient is φ = 19912975680.

The previous prime is 22002330997. The next prime is 22002331033. The reversal of 22002331013 is 31013320022.

It is not a de Polignac number, because 22002331013 - 24 = 22002330997 is a prime.

It is a super-4 number, since 4×220023310134 (a number of 42 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22002330982 and 22002331000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002331033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072256 + ... + 1092582.

It is an arithmetic number, because the mean of its divisors is an integer number (1509902856).

Almost surely, 222002331013 is an apocalyptic number.

It is an amenable number.

22002331013 is a deficient number, since it is larger than the sum of its proper divisors (2156114683).

22002331013 is a wasteful number, since it uses less digits than its factorization.

22002331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21964.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 22002331013 its reverse (31013320022), we get a palindrome (53015651035).

The spelling of 22002331013 in words is "twenty-two billion, two million, three hundred thirty-one thousand, thirteen".

Divisors: 1 13 53 689 1571 20327 20423 83263 264251 1077331 1082419 14005303 31933717 415138321 1692487001 22002331013