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330101013233029 is a prime number
BaseRepresentation
bin100101100001110011010000…
…1101000100011110110000101
31121021210100102011212021000011
41023003212201220203312011
5321231333333341424104
63130022151215350221
7126350003556402043
oct11303464150436605
91537710364767004
10330101013233029
11961a9065288645
1231033955522371
1311226513244c6c
145b72d8d637393
152826a417b9904
hex12c39a1a23d85

330101013233029 has 2 divisors, whose sum is σ = 330101013233030. Its totient is φ = 330101013233028.

The previous prime is 330101013233027. The next prime is 330101013233053. The reversal of 330101013233029 is 920332310101033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 289728840944929 + 40372172288100 = 17021423^2 + 6353910^2 .

It is a cyclic number.

It is not a de Polignac number, because 330101013233029 - 21 = 330101013233027 is a prime.

It is a super-3 number, since 3×3301010132330293 (a number of 45 digits) contains 333 as substring.

Together with 330101013233027, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330101013233027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165050506616514 + 165050506616515.

It is an arithmetic number, because the mean of its divisors is an integer number (165050506616515).

Almost surely, 2330101013233029 is an apocalyptic number.

It is an amenable number.

330101013233029 is a deficient number, since it is larger than the sum of its proper divisors (1).

330101013233029 is an equidigital number, since it uses as much as digits as its factorization.

330101013233029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 31.

The spelling of 330101013233029 in words is "three hundred thirty trillion, one hundred one billion, thirteen million, two hundred thirty-three thousand, twenty-nine".