Search a number
-
+
101075750361769 is a prime number
BaseRepresentation
bin10110111110110110001000…
…001100100001101010101001
3111020212202011211102001001011
4112332312020030201222221
5101222011114043034034
6554545320402223521
730201324214302121
oct2676661014415251
9436782154361034
10101075750361769
112a229a92049037
12b4051a8354ba1
13445252ccab051
141ad6141859c81
15ba432b3bc864
hex5bed88321aa9

101075750361769 has 2 divisors, whose sum is σ = 101075750361770. Its totient is φ = 101075750361768.

The previous prime is 101075750361737. The next prime is 101075750361793. The reversal of 101075750361769 is 967163057570101.

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., 87686649733225 + 13389100628544 = 9364115^2 + 3659112^2 .

It is a cyclic number.

It is not a de Polignac number, because 101075750361769 - 25 = 101075750361737 is a prime.

It is a super-2 number, since 2×1010757503617692 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101075750361709) 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, 50537875180884 + 50537875180885.

It is an arithmetic number, because the mean of its divisors is an integer number (50537875180885).

Almost surely, 2101075750361769 is an apocalyptic number.

It is an amenable number.

101075750361769 is a deficient number, since it is larger than the sum of its proper divisors (1).

101075750361769 is an equidigital number, since it uses as much as digits as its factorization.

101075750361769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8334900, while the sum is 58.

The spelling of 101075750361769 in words is "one hundred one trillion, seventy-five billion, seven hundred fifty million, three hundred sixty-one thousand, seven hundred sixty-nine".