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132122012321 = 1353191759089
BaseRepresentation
bin111101100001100010…
…1011110101010100001
3110122000210212122021202
41323003011132222201
54131041213343241
6140410201130545
712355051401125
oct1730305365241
9418023778252
10132122012321
115103a482422
1221733489a55
13c5c76cba20
146575245585
1536842c7d9b
hex1ec315eaa1

132122012321 has 8 divisors (see below), whose sum is σ = 144969872040. Its totient is φ = 119657670912.

The previous prime is 132122012303. The next prime is 132122012357. The reversal of 132122012321 is 123210221231.

It can be written as a sum of positive squares in 4 ways, for example, as 21075780625 + 111046231696 = 145175^2 + 333236^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132122012321 - 214 = 132121995937 is a prime.

It is a super-2 number, since 2×1321220123212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132122012293 and 132122012302.

It is not an unprimeable number, because it can be changed into a prime (132122015321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95878856 + ... + 95880233.

It is an arithmetic number, because the mean of its divisors is an integer number (18121234005).

Almost surely, 2132122012321 is an apocalyptic number.

It is an amenable number.

132122012321 is a deficient number, since it is larger than the sum of its proper divisors (12847859719).

132122012321 is a wasteful number, since it uses less digits than its factorization.

132122012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191759155.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132122012321 its reverse (123210221231), we get a palindrome (255332233552).

The spelling of 132122012321 in words is "one hundred thirty-two billion, one hundred twenty-two million, twelve thousand, three hundred twenty-one".

Divisors: 1 13 53 689 191759089 2492868157 10163231717 132122012321