Search a number
-
+
330131121223311 = 32185641197592319
BaseRepresentation
bin100101100010000001010010…
…0001101011011011010001111
31121021220020010110100122012100
41023010002210031123122033
5321232332014013121221
63130044050550210143
7126352120640162262
oct11304024415333217
91537806113318170
10330131121223311
119620a905480341
1231039758653953
1311229300aba725
145b74608152cd9
152827704b25926
hex12c40a435b68f

330131121223311 has 12 divisors (see below), whose sum is σ = 476858635102720. Its totient is φ = 220086227481120.

The previous prime is 330131121223301. The next prime is 330131121223373. The reversal of 330131121223311 is 113322121131033.

330131121223311 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 3 + 1 + 121 + 223 + 311 = 666.

It is not a de Polignac number, because 330131121223311 - 211 = 330131121221263 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330131121223301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97125391 + ... + 100466928.

Almost surely, 2330131121223311 is an apocalyptic number.

330131121223311 is a deficient number, since it is larger than the sum of its proper divisors (146727513879409).

330131121223311 is a wasteful number, since it uses less digits than its factorization.

330131121223311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197777966 (or 197777963 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 330131121223311 its reverse (113322121131033), we get a palindrome (443453242354344).

The spelling of 330131121223311 in words is "three hundred thirty trillion, one hundred thirty-one billion, one hundred twenty-one million, two hundred twenty-three thousand, three hundred eleven".

Divisors: 1 3 9 185641 556923 1670769 197592319 592776957 1778330871 36681235691479 110043707074437 330131121223311