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1122131023337 is a prime number
BaseRepresentation
bin10000010101000100001…
…110001001010111101001
310222021102020111020102202
4100111010032021113221
5121341111020221322
62215255550105545
7144033311215322
oct20250416112751
93867366436382
101122131023337
113a2990788425
121615874ab2b5
1381a7cb1375c
143c4507d3449
151e2c8861292
hex105443895e9

1122131023337 has 2 divisors, whose sum is σ = 1122131023338. Its totient is φ = 1122131023336.

The previous prime is 1122131023297. The next prime is 1122131023339. The reversal of 1122131023337 is 7333201312211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 967421747776 + 154709275561 = 983576^2 + 393331^2 .

It is a cyclic number.

It is not a de Polignac number, because 1122131023337 - 28 = 1122131023081 is a prime.

Together with 1122131023339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1122131023339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561065511668 + 561065511669.

It is an arithmetic number, because the mean of its divisors is an integer number (561065511669).

Almost surely, 21122131023337 is an apocalyptic number.

It is an amenable number.

1122131023337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122131023337 is an equidigital number, since it uses as much as digits as its factorization.

1122131023337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 1122131023337 its reverse (7333201312211), we get a palindrome (8455332335548).

The spelling of 1122131023337 in words is "one trillion, one hundred twenty-two billion, one hundred thirty-one million, twenty-three thousand, three hundred thirty-seven".