Search a number
-
+
12331204330041 = 331632801909641
BaseRepresentation
bin1011001101110001010100…
…0011011100001000111001
31121122211222211110100011000
42303130111003130020321
53104013301302030131
642120513240155213
72411620511245122
oct263342503341071
947584884410130
1012331204330041
113a246a8409113
121471a53468b09
136b5a9b2628bc
14308b950a5049
15165b69cebce6
hexb37150dc239

12331204330041 has 16 divisors (see below), whose sum is σ = 18380527251520. Its totient is φ = 8170368510240.

The previous prime is 12331204329991. The next prime is 12331204330043. The reversal of 12331204330041 is 14003340213321.

It is a happy number.

12331204330041 is a `hidden beast` number, since 1 + 2 + 3 + 312 + 0 + 4 + 3 + 300 + 41 = 666.

It is not a de Polignac number, because 12331204330041 - 211 = 12331204327993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12331204329987 and 12331204330014.

It is not an unprimeable number, because it can be changed into a prime (12331204330043) 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, 1400950420 + ... + 1400959221.

It is an arithmetic number, because the mean of its divisors is an integer number (1148782953220).

Almost surely, 212331204330041 is an apocalyptic number.

It is an amenable number.

12331204330041 is a deficient number, since it is larger than the sum of its proper divisors (6049322921479).

12331204330041 is a wasteful number, since it uses less digits than its factorization.

12331204330041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801909813 (or 2801909807 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12331204330041 its reverse (14003340213321), we get a palindrome (26334544543362).

The spelling of 12331204330041 in words is "twelve trillion, three hundred thirty-one billion, two hundred four million, three hundred thirty thousand, forty-one".

Divisors: 1 3 9 27 163 489 1467 4401 2801909641 8405728923 25217186769 75651560307 456711271483 1370133814449 4110401443347 12331204330041