Search a number
-
+
12013001330031 = 3213890411153123
BaseRepresentation
bin1010111011001111111010…
…1011010100110101101111
31120112102122201101002201100
42232303332223110311233
53033310111320030111
641314410245414143
72346624241336542
oct256637653246557
946472581332640
1012013001330031
11391175a088559
121420249a0a353
13691a8a138a90
142d760a5b2859
1515c744536756
hexaecfead4d6f

12013001330031 has 24 divisors (see below), whose sum is σ = 18687117031856. Its totient is φ = 7392526767360.

The previous prime is 12013001330027. The next prime is 12013001330041. The reversal of 12013001330031 is 13003310031021.

It is a happy number.

12013001330031 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 300 + 1 + 330 + 0 + 31 = 666.

It is not a de Polignac number, because 12013001330031 - 22 = 12013001330027 is a prime.

It is a super-2 number, since 2×120130013300312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12013001329986 and 12013001330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013001330021) 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 23 ways as a sum of consecutive naturals, for example, 9841236 + ... + 10994358.

Almost surely, 212013001330031 is an apocalyptic number.

12013001330031 is a deficient number, since it is larger than the sum of its proper divisors (6674115701825).

12013001330031 is a wasteful number, since it uses less digits than its factorization.

12013001330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242183 (or 1242180 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12013001330031 its reverse (13003310031021), we get a palindrome (25016311361052).

The spelling of 12013001330031 in words is "twelve trillion, thirteen billion, one million, three hundred thirty thousand, thirty-one".

Divisors: 1 3 9 13 39 117 89041 267123 801369 1153123 1157533 3459369 3472599 10378107 10417797 14990599 44971797 134915391 102675225043 308025675129 924077025387 1334777925559 4004333776677 12013001330031