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1022153892157 is a prime number
BaseRepresentation
bin11101101111111010001…
…11101010000100111101
310121201100122212202022101
432313331013222010331
5113221332344022112
62101323201145101
7133563632504626
oct16677507520475
93551318782271
101022153892157
11364547251a82
1214612532b191
1375508c80178
1437688806a4d
151b8c6642757
hexedfd1ea13d

1022153892157 has 2 divisors, whose sum is σ = 1022153892158. Its totient is φ = 1022153892156.

The previous prime is 1022153892143. The next prime is 1022153892161. The reversal of 1022153892157 is 7512983512201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 938158839396 + 83995052761 = 968586^2 + 289819^2 .

It is an emirp because it is prime and its reverse (7512983512201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1022153892157 - 27 = 1022153892029 is a prime.

It is a super-2 number, since 2×10221538921572 (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 (1022153892457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511076946078 + 511076946079.

It is an arithmetic number, because the mean of its divisors is an integer number (511076946079).

Almost surely, 21022153892157 is an apocalyptic number.

It is an amenable number.

1022153892157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022153892157 is an equidigital number, since it uses as much as digits as its factorization.

1022153892157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 1022153892157 in words is "one trillion, twenty-two billion, one hundred fifty-three million, eight hundred ninety-two thousand, one hundred fifty-seven".