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132122012312141 is a prime number
BaseRepresentation
bin11110000010101000001101…
…100111000110001001001101
3122022210202000012112210112122
4132002220031213012021031
5114304141340122442031
61145000003050142325
736554333426563265
oct3602501547061115
9568722005483478
10132122012312141
11391096a359a015
121299a16a7219a5
13589508ab9c057
14248aa4d3367a5
151041be402247b
hex782a0d9c624d

132122012312141 has 2 divisors, whose sum is σ = 132122012312142. Its totient is φ = 132122012312140.

The previous prime is 132122012312123. The next prime is 132122012312153. The reversal of 132122012312141 is 141213210221231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132121898036041 + 114276100 = 11494429^2 + 10690^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132122012312141 is a prime.

It is a super-2 number, since 2×1321220123121412 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132122012312141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132122012392141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66061006156070 + 66061006156071.

It is an arithmetic number, because the mean of its divisors is an integer number (66061006156071).

Almost surely, 2132122012312141 is an apocalyptic number.

It is an amenable number.

132122012312141 is a deficient number, since it is larger than the sum of its proper divisors (1).

132122012312141 is an equidigital number, since it uses as much as digits as its factorization.

132122012312141 is an odious number, because the sum of its binary digits is odd.

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

Adding to 132122012312141 its reverse (141213210221231), we get a palindrome (273335222533372).

The spelling of 132122012312141 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, twelve million, three hundred twelve thousand, one hundred forty-one".