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330303122113037 is a prime number
BaseRepresentation
bin100101100011010001011000…
…0010000110000001000001101
31121022111200002111101011000112
41023012202300100300020031
5321243141243230104122
63130255054242205405
7126400420165466213
oct11306426020601015
91538450074334015
10330303122113037
11962768494a2587
1231066b5b353865
131123c5b2440b18
145b7ca83836cb3
15282be1ee5c2e2
hex12c68b043020d

330303122113037 has 2 divisors, whose sum is σ = 330303122113038. Its totient is φ = 330303122113036.

The previous prime is 330303122112973. The next prime is 330303122113127. The reversal of 330303122113037 is 730311221303033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 319523811802441 + 10779310310596 = 17875229^2 + 3283186^2 .

It is a cyclic number.

It is not a de Polignac number, because 330303122113037 - 26 = 330303122112973 is a prime.

It is a super-3 number, since 3×3303031221130373 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330303122112994 and 330303122113012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330303122163037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165151561056518 + 165151561056519.

It is an arithmetic number, because the mean of its divisors is an integer number (165151561056519).

Almost surely, 2330303122113037 is an apocalyptic number.

It is an amenable number.

330303122113037 is a deficient number, since it is larger than the sum of its proper divisors (1).

330303122113037 is an equidigital number, since it uses as much as digits as its factorization.

330303122113037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 32.

The spelling of 330303122113037 in words is "three hundred thirty trillion, three hundred three billion, one hundred twenty-two million, one hundred thirteen thousand, thirty-seven".