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132122121221231 = 1923302338950163
BaseRepresentation
bin11110000010101000010100…
…000110100011010001101111
3122022210202021210110221201122
4132002220110012203101233
5114304142101013034411
61145000021540331155
736554336221362431
oct3602502406432157
9568722253427648
10132122121221231
113910974a016029
121299a19b0a3abb
1358950a76119bb
14248aa5d9a6651
151041bed8869db
hex782a141a346f

132122121221231 has 8 divisors (see below), whose sum is σ = 145122696078720. Its totient is φ = 119726224264152.

The previous prime is 132122121221177. The next prime is 132122121221263.

132122121221231 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 132122121221231 - 222 = 132122117026927 is a prime.

It is a super-2 number, since 2×1321221212212312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132122121221231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122121221281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151169474645 + ... + 151169475518.

It is an arithmetic number, because the mean of its divisors is an integer number (18140337009840).

Almost surely, 2132122121221231 is an apocalyptic number.

132122121221231 is a deficient number, since it is larger than the sum of its proper divisors (13000574857489).

132122121221231 is a wasteful number, since it uses less digits than its factorization.

132122121221231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302338950205.

The product of its digits is 1152, while the sum is 26.

The spelling of 132122121221231 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 19 23 437 302338950163 5744440053097 6953795853749 132122121221231