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232122322320131 = 298004218011039
BaseRepresentation
bin110100110001110100110000…
…100100001111101100000011
31010102212200021202012100211202
4310301310300210033230003
5220411043004003221011
62141403304525331415
766615166352050115
oct6461646044175403
91112780252170752
10232122322320131
1167a63584595841
122204aa40106b6b
139c6a06c308179
144146acd3a53b5
151bc807ab2b23b
hexd31d3090fb03

232122322320131 has 4 divisors (see below), whose sum is σ = 240126540331200. Its totient is φ = 224118104309064.

The previous prime is 232122322320113. The next prime is 232122322320143. The reversal of 232122322320131 is 131023223221232.

It is a semiprime because it is the product of two primes.

It is a de Polignac number, because none of the positive numbers 2k-232122322320131 is a prime.

It is a super-3 number, since 3×2321223223201313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29), and also a Moran number because the ratio is a prime number: 8004218011039 = 232122322320131 / (2 + 3 + 2 + 1 + 2 + 2 + 3 + 2 + 2 + 3 + 2 + 0 + 1 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232122322320094 and 232122322320103.

It is not an unprimeable number, because it can be changed into a prime (232172322320131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4002109005491 + ... + 4002109005548.

It is an arithmetic number, because the mean of its divisors is an integer number (60031635082800).

Almost surely, 2232122322320131 is an apocalyptic number.

232122322320131 is a deficient number, since it is larger than the sum of its proper divisors (8004218011069).

232122322320131 is an equidigital number, since it uses as much as digits as its factorization.

232122322320131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8004218011068.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 232122322320131 its reverse (131023223221232), we get a palindrome (363145545541363).

The spelling of 232122322320131 in words is "two hundred thirty-two trillion, one hundred twenty-two billion, three hundred twenty-two million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 29 8004218011039 232122322320131