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332122221202133 is a prime number
BaseRepresentation
bin100101110000100000011101…
…1000001000100101011010101
31121112221120111122020120022102
41023201000323001010223111
5322012442302111432013
63134210501521011445
7126646016152562615
oct11341007301045325
91545846448216272
10332122221202133
119690827450751a
12312bb617a83b85
1311341cb650877b
145c02b309b4a45
15285e3db5c4d58
hex12e103b044ad5

332122221202133 has 2 divisors, whose sum is σ = 332122221202134. Its totient is φ = 332122221202132.

The previous prime is 332122221202129. The next prime is 332122221202147. The reversal of 332122221202133 is 331202122221233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331964828889604 + 157392312529 = 18219902^2 + 396727^2 .

It is a cyclic number.

It is not a de Polignac number, because 332122221202133 - 22 = 332122221202129 is a prime.

It is a super-2 number, since 2×3321222212021332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332122221202096 and 332122221202105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332122221202183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166061110601066 + 166061110601067.

It is an arithmetic number, because the mean of its divisors is an integer number (166061110601067).

Almost surely, 2332122221202133 is an apocalyptic number.

It is an amenable number.

332122221202133 is a deficient number, since it is larger than the sum of its proper divisors (1).

332122221202133 is an equidigital number, since it uses as much as digits as its factorization.

332122221202133 is an evil number, because the sum of its binary digits is even.

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

Adding to 332122221202133 its reverse (331202122221233), we get a palindrome (663324343423366).

The spelling of 332122221202133 in words is "three hundred thirty-two trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred two thousand, one hundred thirty-three".