Search a number
-
+
31132266223113 = 32111653911901357
BaseRepresentation
bin1110001010000100010111…
…01010110101011000001001
311002020012211011100111021100
413011002023222311120021
513040032340123114423
6150113544325532013
76362142402445116
oct705021352653011
9132205734314240
1031132266223113
119a13135737040
1235a9784b74009
13144a9b5c59623
14798b49c5790d
1538ec4d302343
hex1c508bab5609

31132266223113 has 24 divisors (see below), whose sum is σ = 49057226764416. Its totient is φ = 18867916130400.

The previous prime is 31132266223087. The next prime is 31132266223133.

31132266223113 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 2 + 26 + 622 + 3 + 1 + 1 + 3 = 666.

31132266223113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31132266223113 - 26 = 31132266223049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31132266223133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15423031 + ... + 17324387.

It is an arithmetic number, because the mean of its divisors is an integer number (2044051115184).

Almost surely, 231132266223113 is an apocalyptic number.

31132266223113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31132266223113 is a deficient number, since it is larger than the sum of its proper divisors (17924960541303).

31132266223113 is a wasteful number, since it uses less digits than its factorization.

31132266223113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066765 (or 2066762 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

It can be divided in two parts, 3113226 and 6223113, that added together give a palindrome (9336339).

The spelling of 31132266223113 in words is "thirty-one trillion, one hundred thirty-two billion, two hundred sixty-six million, two hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 99 165391 496173 1488519 1819301 1901357 5457903 5704071 16373709 17112213 20914927 62744781 188234343 314467335587 943402006761 2830206020283 3459140691457 10377422074371 31132266223113