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1022111021957 is a prime number
BaseRepresentation
bin11101101111110101001…
…00000111101110000101
310121201020200012201110012
432313322210013232011
5113221240410200312
62101315030240005
7133562602223624
oct16677244075605
93551220181405
101022111021957
11364525030a63
12146112ab6005
137550012009c
1437682c476bb
151b8c29c5322
hexedfa907b85

1022111021957 has 2 divisors, whose sum is σ = 1022111021958. Its totient is φ = 1022111021956.

The previous prime is 1022111021933. The next prime is 1022111021999. The reversal of 1022111021957 is 7591201112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 865701845761 + 156409176196 = 930431^2 + 395486^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022111021957 - 216 = 1022110956421 is a prime.

It is a super-2 number, since 2×10221110219572 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022111021557) 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, 511055510978 + 511055510979.

It is an arithmetic number, because the mean of its divisors is an integer number (511055510979).

Almost surely, 21022111021957 is an apocalyptic number.

It is an amenable number.

1022111021957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022111021957 is an equidigital number, since it uses as much as digits as its factorization.

1022111021957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 32.

The spelling of 1022111021957 in words is "one trillion, twenty-two billion, one hundred eleven million, twenty-one thousand, nine hundred fifty-seven".