Search a number
-
+
133345444543331 = 4127199011212121
BaseRepresentation
bin11110010100011011100111…
…110110101011101101100011
3122111010200220022010120211112
4132110123213312223231203
5114434212432300341311
61151334015044533535
740041614265141206
oct3624334766535543
9574120808116745
10133345444543331
1139540538155229
1212b572a76b12ab
135953562c60bc7
1424cdd4d90393d
15106394ae4b28b
hex7946e7dabb63

133345444543331 has 16 divisors (see below), whose sum is σ = 137115783670656. Its totient is φ = 129599870400000.

The previous prime is 133345444543313. The next prime is 133345444543351.

133345444543331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 133345444543331 - 214 = 133345444526947 is a prime.

It is a super-2 number, since 2×1333454445433312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133345444543331.

It is not an unprimeable number, because it can be changed into a prime (133345444543301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109403951 + ... + 110616071.

It is an arithmetic number, because the mean of its divisors is an integer number (8569736479416).

Almost surely, 2133345444543331 is an apocalyptic number.

133345444543331 is a deficient number, since it is larger than the sum of its proper divisors (3770339127325).

133345444543331 is a wasteful number, since it uses less digits than its factorization.

133345444543331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222334.

The product of its digits is 18662400, while the sum is 50.

The spelling of 133345444543331 in words is "one hundred thirty-three trillion, three hundred forty-five billion, four hundred forty-four million, five hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 41 271 9901 11111 405941 1212121 2683171 49696961 110010011 328484791 12001210021 13467876431 492049610861 3252327915691 133345444543331