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332122221202129 is a prime number
BaseRepresentation
bin100101110000100000011101…
…1000001000100101011010001
31121112221120111122020120022021
41023201000323001010223101
5322012442302111432004
63134210501521011441
7126646016152562611
oct11341007301045321
91545846448216267
10332122221202129
1196908274507516
12312bb617a83b81
1311341cb6508777
145c02b309b4a41
15285e3db5c4d54
hex12e103b044ad1

332122221202129 has 2 divisors, whose sum is σ = 332122221202130. Its totient is φ = 332122221202128.

The previous prime is 332122221202127. The next prime is 332122221202133. The reversal of 332122221202129 is 921202122221233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 326912688848529 + 5209532353600 = 18080727^2 + 2282440^2 .

It is a cyclic number.

It is not a de Polignac number, because 332122221202129 - 21 = 332122221202127 is a prime.

It is a super-2 number, since 2×3321222212021292 (a number of 30 digits) contains 22 as substring.

Together with 332122221202127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 332122221202094 and 332122221202103.

It is not a weakly prime, because it can be changed into another prime (332122221202127) 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 as a sum of consecutive naturals, namely, 166061110601064 + 166061110601065.

It is an arithmetic number, because the mean of its divisors is an integer number (166061110601065).

Almost surely, 2332122221202129 is an apocalyptic number.

It is an amenable number.

332122221202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

332122221202129 is an equidigital number, since it uses as much as digits as its factorization.

332122221202129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 332122221202129 in words is "three hundred thirty-two trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred two thousand, one hundred twenty-nine".