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133140041331 = 31110139946007
BaseRepresentation
bin111101111111111000…
…0111100111001110011
3110201122202110212112220
41323333300330321303
54140132322310311
6141055205052123
712422222451543
oct1737760747163
9421582425486
10133140041331
115151209a710
12219783b7043
13c72a5ac15b
146630527323
1536e386b206
hex1effc3ce73

133140041331 has 16 divisors (see below), whose sum is σ = 195575655168. Its totient is φ = 79892012000.

The previous prime is 133140041323. The next prime is 133140041347.

133140041331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 133140041331 - 23 = 133140041323 is a prime.

It is a super-2 number, since 2×1331400413312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133140041351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19969671 + ... + 19976336.

It is an arithmetic number, because the mean of its divisors is an integer number (12223478448).

Almost surely, 2133140041331 is an apocalyptic number.

133140041331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133140041331 is a deficient number, since it is larger than the sum of its proper divisors (62435613837).

133140041331 is a wasteful number, since it uses less digits than its factorization.

133140041331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39946122.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1331400 and 41331, that added together give a palindrome (1372731).

The spelling of 133140041331 in words is "one hundred thirty-three billion, one hundred forty million, forty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 33 101 303 1111 3333 39946007 119838021 439406077 1318218231 4034546707 12103640121 44380013777 133140041331