Search a number
-
+
1023142122029 is a prime number
BaseRepresentation
bin11101110001110000000…
…01011101001000101101
310121210220112102000211202
432320320001131020231
5113230343340401104
62102005222255245
7133630262354366
oct16707001351055
93553815360752
101023142122029
11364a04066785
12146360287525
1375635928b81
143773db6cb6d
151b93329b51e
hexee3805d22d

1023142122029 has 2 divisors, whose sum is σ = 1023142122030. Its totient is φ = 1023142122028.

The previous prime is 1023142121959. The next prime is 1023142122091. The reversal of 1023142122029 is 9202212413201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 636003060004 + 387139062025 = 797498^2 + 622205^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023142122029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023142121992 and 1023142122010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023142152029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511571061014 + 511571061015.

It is an arithmetic number, because the mean of its divisors is an integer number (511571061015).

Almost surely, 21023142122029 is an apocalyptic number.

It is an amenable number.

1023142122029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023142122029 is an equidigital number, since it uses as much as digits as its factorization.

1023142122029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 1023142122029 in words is "one trillion, twenty-three billion, one hundred forty-two million, one hundred twenty-two thousand, twenty-nine".