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1020122431337 is a prime number
BaseRepresentation
bin11101101100001000000…
…10001111111101101001
310121112010002022211221202
432312010002033331221
5113203202320300322
62100345432013545
7133462404411422
oct16660402177551
93545102284852
101020122431337
113636a4577439
12145858b312b5
137527413bc49
1437534abc649
151b808118292
hexed8408ff69

1020122431337 has 2 divisors, whose sum is σ = 1020122431338. Its totient is φ = 1020122431336.

The previous prime is 1020122431309. The next prime is 1020122431403. The reversal of 1020122431337 is 7331342210201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 560887157776 + 459235273561 = 748924^2 + 677669^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020122431337 - 212 = 1020122427241 is a prime.

It is a super-4 number, since 4×10201224313374 (a number of 49 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (1020122481337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510061215668 + 510061215669.

It is an arithmetic number, because the mean of its divisors is an integer number (510061215669).

Almost surely, 21020122431337 is an apocalyptic number.

It is an amenable number.

1020122431337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020122431337 is an equidigital number, since it uses as much as digits as its factorization.

1020122431337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

Adding to 1020122431337 its reverse (7331342210201), we get a palindrome (8351464641538).

The spelling of 1020122431337 in words is "one trillion, twenty billion, one hundred twenty-two million, four hundred thirty-one thousand, three hundred thirty-seven".