Search a number
-
+
132331121133231 = 31014231103222967
BaseRepresentation
bin11110000101101010111101…
…011101111100011010101111
3122100112201202100200112112010
4132011222331131330122233
5114321103114002230411
61145240024450012303
736605415354333066
oct3605527535743257
9570481670615463
10132331121133231
113918a34a018329
1212a127a8877093
1358aba04380097
142496c090791dd
151047381ebb7a6
hex785abd77c6af

132331121133231 has 16 divisors (see below), whose sum is σ = 178230557035008. Its totient is φ = 87326629236000.

The previous prime is 132331121133229. The next prime is 132331121133293.

132331121133231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132331121133231 - 21 = 132331121133229 is a prime.

It is a super-2 number, since 2×1323311211332312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132331121133931) 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, 50329491 + ... + 52893476.

It is an arithmetic number, because the mean of its divisors is an integer number (11139409814688).

Almost surely, 2132331121133231 is an apocalyptic number.

132331121133231 is a deficient number, since it is larger than the sum of its proper divisors (45899435901777).

132331121133231 is a wasteful number, since it uses less digits than its factorization.

132331121133231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103227302.

The product of its digits is 5832, while the sum is 30.

The spelling of 132331121133231 in words is "one hundred thirty-two trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 101 303 4231 12693 427331 1281993 103222967 309668901 10425519667 31276559001 436736373377 1310209120131 44110373711077 132331121133231