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22131314431 is a prime number
BaseRepresentation
bin10100100111001000…
…010000111011111111
32010010100222021000021
4110213020100323333
5330311104030211
614100022513011
71412302032412
oct244710207377
963110867007
1022131314431
119427606106
124357895767
13211910ab35
1410dd3a3b79
15897e1b771
hex527210eff

22131314431 has 2 divisors, whose sum is σ = 22131314432. Its totient is φ = 22131314430.

The previous prime is 22131314393. The next prime is 22131314453. The reversal of 22131314431 is 13441313122.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 22131314431 - 227 = 21997096703 is a prime.

It is a super-2 number, since 2×221313144312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22131314396 and 22131314405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22131314461) 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 as a sum of consecutive naturals, namely, 11065657215 + 11065657216.

It is an arithmetic number, because the mean of its divisors is an integer number (11065657216).

Almost surely, 222131314431 is an apocalyptic number.

22131314431 is a deficient number, since it is larger than the sum of its proper divisors (1).

22131314431 is an equidigital number, since it uses as much as digits as its factorization.

22131314431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 25.

Adding to 22131314431 its reverse (13441313122), we get a palindrome (35572627553).

The spelling of 22131314431 in words is "twenty-two billion, one hundred thirty-one million, three hundred fourteen thousand, four hundred thirty-one".