Search a number
-
+
132321301113213 = 334900788930119
BaseRepresentation
bin11110000101100001110100…
…001001100010100101111101
3122100111210101222120211112000
4132011201310021202211331
5114320423011041110323
61145231322212532513
736604620123464112
oct3605416411424575
9570453358524460
10132321301113213
113918616a961a03
1212a10908021139
1358aaacaa5a654
142496556ba6909
151046ea9d10e43
hex78587426297d

132321301113213 has 8 divisors (see below), whose sum is σ = 196031557204800. Its totient is φ = 88214200742124.

The previous prime is 132321301113179. The next prime is 132321301113257. The reversal of 132321301113213 is 312311103123231.

132321301113213 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 21 + 301 + 11 + 321 + 3 = 666.

It is not a de Polignac number, because 132321301113213 - 220 = 132321300064637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4900788930119 = 132321301113213 / (1 + 3 + 2 + 3 + 2 + 1 + 3 + 0 + 1 + 1 + 1 + 3 + 2 + 1 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132321301113293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2450394465033 + ... + 2450394465086.

It is an arithmetic number, because the mean of its divisors is an integer number (24503944650600).

Almost surely, 2132321301113213 is an apocalyptic number.

It is an amenable number.

132321301113213 is a deficient number, since it is larger than the sum of its proper divisors (63710256091587).

132321301113213 is an equidigital number, since it uses as much as digits as its factorization.

132321301113213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900788930128 (or 4900788930122 counting only the distinct ones).

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

Adding to 132321301113213 its reverse (312311103123231), we get a palindrome (444632404236444).

The spelling of 132321301113213 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, three hundred one million, one hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 27 4900788930119 14702366790357 44107100371071 132321301113213