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1322212331137 is a prime number
BaseRepresentation
bin10011001111011001111…
…111110000111010000001
311200101212020202210021011
4103033121333300322001
5133130342324044022
62451225503000521
7164345440243315
oct23173177607201
94611766683234
101322212331137
1146a824433355
12194306299141
13978b7c30349
1447dd15dbb45
15245d8ee6977
hex133d9ff0e81

1322212331137 has 2 divisors, whose sum is σ = 1322212331138. Its totient is φ = 1322212331136.

The previous prime is 1322212331123. The next prime is 1322212331149. The reversal of 1322212331137 is 7311332122231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1257573845056 + 64638486081 = 1121416^2 + 254241^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322212331137 - 27 = 1322212331009 is a prime.

It is a super-2 number, since 2×13222123311372 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322212331099 and 1322212331108.

It is not a weakly prime, because it can be changed into another prime (1322212331107) 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 as a sum of consecutive naturals, namely, 661106165568 + 661106165569.

It is an arithmetic number, because the mean of its divisors is an integer number (661106165569).

Almost surely, 21322212331137 is an apocalyptic number.

It is an amenable number.

1322212331137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322212331137 is an equidigital number, since it uses as much as digits as its factorization.

1322212331137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 31.

Adding to 1322212331137 its reverse (7311332122231), we get a palindrome (8633544453368).

The spelling of 1322212331137 in words is "one trillion, three hundred twenty-two billion, two hundred twelve million, three hundred thirty-one thousand, one hundred thirty-seven".