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22131311313 = 3371391434397
BaseRepresentation
bin10100100111001000…
…010000001011010001
32010010100222002201210
4110213020100023101
5330311103430223
614100022450333
71412302020336
oct244710201321
963110862653
1022131311313
119427603831
1243578939a9
1321191095a7
1410dd3a298d
15897e1a893
hex5272102d1

22131311313 has 16 divisors (see below), whose sum is σ = 30523989440. Its totient is φ = 14252158656.

The previous prime is 22131311309. The next prime is 22131311317. The reversal of 22131311313 is 31311313122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22131311309) and next prime (22131311317).

It is not a de Polignac number, because 22131311313 - 22 = 22131311309 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22131311313.

It is not an unprimeable number, because it can be changed into a prime (22131311317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701770 + ... + 732627.

It is an arithmetic number, because the mean of its divisors is an integer number (1907749340).

Almost surely, 222131311313 is an apocalyptic number.

It is an amenable number.

22131311313 is a deficient number, since it is larger than the sum of its proper divisors (8392678127).

22131311313 is a wasteful number, since it uses less digits than its factorization.

22131311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434576.

The product of its digits is 324, while the sum is 21.

Adding to 22131311313 its reverse (31311313122), we get a palindrome (53442624435).

The spelling of 22131311313 in words is "twenty-two billion, one hundred thirty-one million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 37 111 139 417 5143 15429 1434397 4303191 53072689 159218067 199381183 598143549 7377103771 22131311313