Search a number
-
+
13101132331 = 717658116729
BaseRepresentation
bin11000011001110001…
…10110101000101011
31020211001002110221101
430030320312220223
5203312342213311
610004002422231
7642441534040
oct141470665053
936731073841
1013101132331
11561327a6a1
122657661977
13130a320a11
148c3d731c7
1551a27bec1
hex30ce36a2b

13101132331 has 16 divisors (see below), whose sum is σ = 15856827840. Its totient is φ = 10566743040.

The previous prime is 13101132329. The next prime is 13101132347. The reversal of 13101132331 is 13323110131.

13101132331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13101132331 - 21 = 13101132329 is a prime.

It is a super-2 number, since 2×131011323312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101132299 and 13101132308.

It is not an unprimeable number, because it can be changed into a prime (13101132431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774775 + ... + 791503.

It is an arithmetic number, because the mean of its divisors is an integer number (991051740).

Almost surely, 213101132331 is an apocalyptic number.

13101132331 is a deficient number, since it is larger than the sum of its proper divisors (2755695509).

13101132331 is a wasteful number, since it uses less digits than its factorization.

13101132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23334.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13101132331 its reverse (13323110131), we get a palindrome (26424242462).

The spelling of 13101132331 in words is "thirteen billion, one hundred one million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 17 119 6581 16729 46067 111877 117103 284393 783139 1990751 110093549 770654843 1871590333 13101132331