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2122313013 = 32597354751
BaseRepresentation
bin111111001111111…
…1110110100110101
312110220111200010200
41332133332310311
513321303004023
6550332311113
7103410235332
oct17637766465
95426450120
102122313013
11999a991a7
124b2912499
1327a901022
14161c17989
15c64c3743
hex7e7fed35

2122313013 has 24 divisors (see below), whose sum is σ = 3160285440. Its totient is φ = 1371816000.

The previous prime is 2122313009. The next prime is 2122313023. The reversal of 2122313013 is 3103132212.

It is not a de Polignac number, because 2122313013 - 22 = 2122313009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122313023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11388 + ... + 66138.

It is an arithmetic number, because the mean of its divisors is an integer number (131678560).

Almost surely, 22122313013 is an apocalyptic number.

It is an amenable number.

2122313013 is a deficient number, since it is larger than the sum of its proper divisors (1037972427).

2122313013 is a wasteful number, since it uses less digits than its factorization.

2122313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54889 (or 54886 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2122313013 is about 46068.5686015965. The cubic root of 2122313013 is about 1285.0986844023.

Adding to 2122313013 its reverse (3103132212), we get a palindrome (5225445225).

The spelling of 2122313013 in words is "two billion, one hundred twenty-two million, three hundred thirteen thousand, thirteen".

Divisors: 1 3 9 59 73 177 219 531 657 4307 12921 38763 54751 164253 492759 3230309 3996823 9690927 11990469 29072781 35971407 235812557 707437671 2122313013