Search a number
-
+
22131320312369 is a prime number
BaseRepresentation
bin1010000100000110110010…
…11111000101001000110001
32220100201210202122102022202
411002003121133011020301
510400044420444443434
6115022553241112545
74442635514534342
oct502033137051061
986321722572282
1022131320312369
1170629273991a4
122595246488755
13c46c8911a248
145672396a40c9
15285a46a7aa7e
hex1420d97c5231

22131320312369 has 2 divisors, whose sum is σ = 22131320312370. Its totient is φ = 22131320312368.

The previous prime is 22131320312359. The next prime is 22131320312441. The reversal of 22131320312369 is 96321302313122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17851850271025 + 4279470041344 = 4225145^2 + 2068688^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22131320312369 is a prime.

It is a super-2 number, since 2×221313203123692 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22131320312359) 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, 11065660156184 + 11065660156185.

It is an arithmetic number, because the mean of its divisors is an integer number (11065660156185).

Almost surely, 222131320312369 is an apocalyptic number.

It is an amenable number.

22131320312369 is a deficient number, since it is larger than the sum of its proper divisors (1).

22131320312369 is an equidigital number, since it uses as much as digits as its factorization.

22131320312369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 38.

The spelling of 22131320312369 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred twenty million, three hundred twelve thousand, three hundred sixty-nine".