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332200333002233 is a prime number
BaseRepresentation
bin100101110001000100110101…
…0110101111100010111111001
31121120020001010101101010222202
41023202021222311330113321
5322020232240222032413
63134310420503555545
7126654452636122343
oct11342115265742771
91546201111333882
10332200333002233
1196938408598013
123131279745bbb5
13113494843aba27
145c06820a78293
15286145de16e58
hex12e226ad7c5f9

332200333002233 has 2 divisors, whose sum is σ = 332200333002234. Its totient is φ = 332200333002232.

The previous prime is 332200333002191. The next prime is 332200333002259.

It is a happy number.

332200333002233 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 322521837785449 + 9678495216784 = 17958893^2 + 3111028^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 332200333002233 - 216 = 332200332936697 is a prime.

It is a super-2 number, since 2×3322003330022332 (a number of 30 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 332200333002196 and 332200333002205.

It is not a weakly prime, because it can be changed into another prime (332200333052233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166100166501116 + 166100166501117.

It is an arithmetic number, because the mean of its divisors is an integer number (166100166501117).

Almost surely, 2332200333002233 is an apocalyptic number.

It is an amenable number.

332200333002233 is a deficient number, since it is larger than the sum of its proper divisors (1).

332200333002233 is an equidigital number, since it uses as much as digits as its factorization.

332200333002233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 29.

The spelling of 332200333002233 in words is "three hundred thirty-two trillion, two hundred billion, three hundred thirty-three million, two thousand, two hundred thirty-three".