Search a number
-
+
107152533091661 is a prime number
BaseRepresentation
bin11000010111010001100100…
…101010111111010101001101
3112001101200102021012102001012
4120113101210222333111031
5103021041341432413121
61015521105533455005
731366341442245551
oct3027214452772515
9461350367172035
10107152533091661
1131162152518952
1210026a66641465
1347a3595a68415
141c662d2dc1861
15c5c43b163c5b
hex617464abf54d

107152533091661 has 2 divisors, whose sum is σ = 107152533091662. Its totient is φ = 107152533091660.

The previous prime is 107152533091649. The next prime is 107152533091673. The reversal of 107152533091661 is 166190335251701.

It is a balanced prime because it is at equal distance from previous prime (107152533091649) and next prime (107152533091673).

It can be written as a sum of positive squares in only one way, i.e., 60357438690025 + 46795094401636 = 7769005^2 + 6840694^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107152533091661 is a prime.

It is a super-2 number, since 2×1071525330916612 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107152533091861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53576266545830 + 53576266545831.

It is an arithmetic number, because the mean of its divisors is an integer number (53576266545831).

Almost surely, 2107152533091661 is an apocalyptic number.

It is an amenable number.

107152533091661 is a deficient number, since it is larger than the sum of its proper divisors (1).

107152533091661 is an equidigital number, since it uses as much as digits as its factorization.

107152533091661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1020600, while the sum is 50.

The spelling of 107152533091661 in words is "one hundred seven trillion, one hundred fifty-two billion, five hundred thirty-three million, ninety-one thousand, six hundred sixty-one".