Search a number
-
+
13100140532153 is a prime number
BaseRepresentation
bin1011111010100001110100…
…1110010001000110111001
31201101100202022120122101202
42332220131032101012321
53204113041434012103
643510042123423545
72521311460154543
oct276503516210671
951340668518352
1013100140532153
1141a08138a0774
121576a8a684bb5
1374045163047c
1433409b9c8693
1517ab70dd0988
hexbea1d3911b9

13100140532153 has 2 divisors, whose sum is σ = 13100140532154. Its totient is φ = 13100140532152.

The previous prime is 13100140532119. The next prime is 13100140532159. The reversal of 13100140532153 is 35123504100131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11614988837929 + 1485151694224 = 3408077^2 + 1218668^2 .

It is a cyclic number.

It is not a de Polignac number, because 13100140532153 - 214 = 13100140515769 is a prime.

It is a super-2 number, since 2×131001405321532 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13100140532159) 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, 6550070266076 + 6550070266077.

It is an arithmetic number, because the mean of its divisors is an integer number (6550070266077).

Almost surely, 213100140532153 is an apocalyptic number.

It is an amenable number.

13100140532153 is a deficient number, since it is larger than the sum of its proper divisors (1).

13100140532153 is an equidigital number, since it uses as much as digits as its factorization.

13100140532153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 13100140532153 its reverse (35123504100131), we get a palindrome (48223644632284).

The spelling of 13100140532153 in words is "thirteen trillion, one hundred billion, one hundred forty million, five hundred thirty-two thousand, one hundred fifty-three".