Search a number
-
+
13262333326231 = 1123293178908839
BaseRepresentation
bin1100000011111110000010…
…1010101011001110010111
31201221212101210221021101011
43000333200222223032113
53214242224312414411
644112344250113051
72536112661155443
oct300774052531627
951855353837334
1013262333326231
114253584461540
1215a23b471b787
1375282bc77882
1433bc86821823
1517eeb5114c21
hexc0fe0aab397

13262333326231 has 16 divisors (see below), whose sum is σ = 15148569300480. Its totient is φ = 11493103753120.

The previous prime is 13262333326147. The next prime is 13262333326237.

13262333326231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13262333326231 - 211 = 13262333324183 is a prime.

It is a super-2 number, since 2×132623333262312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13262333326237) 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 in 15 ways as a sum of consecutive naturals, for example, 89380291 + ... + 89528548.

It is an arithmetic number, because the mean of its divisors is an integer number (946785581280).

Almost surely, 213262333326231 is an apocalyptic number.

13262333326231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13262333326231 is a deficient number, since it is larger than the sum of its proper divisors (1886235974249).

13262333326231 is a wasteful number, since it uses less digits than its factorization.

13262333326231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178909166.

The product of its digits is 419904, while the sum is 40.

The spelling of 13262333326231 in words is "thirteen trillion, two hundred sixty-two billion, three hundred thirty-three million, three hundred twenty-six thousand, two hundred thirty-one".

Divisors: 1 11 23 253 293 3223 6739 74129 178908839 1967997229 4114903297 45263936267 52420289827 576623188097 1205666666021 13262333326231