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330101131133197 is a prime number
BaseRepresentation
bin100101100001110011010100…
…0101010010100000100001101
31121021210100201101201012122001
41023003212220222110010031
5321231334104032230242
63130022211030352301
7126350006520466234
oct11303465052240415
91537710641635561
10330101131133197
11961a91158957a6
1231033988abb691
13112265317b5188
145b72da1167b1b
152826a4bd07eb7
hex12c39a8a9410d

330101131133197 has 2 divisors, whose sum is σ = 330101131133198. Its totient is φ = 330101131133196.

The previous prime is 330101131133177. The next prime is 330101131133269. The reversal of 330101131133197 is 791331131101033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172957507071561 + 157143624061636 = 13151331^2 + 12535694^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330101131133197 is a prime.

It is a super-2 number, since 2×3301011311331972 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330101131133177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165050565566598 + 165050565566599.

It is an arithmetic number, because the mean of its divisors is an integer number (165050565566599).

Almost surely, 2330101131133197 is an apocalyptic number.

It is an amenable number.

330101131133197 is a deficient number, since it is larger than the sum of its proper divisors (1).

330101131133197 is an equidigital number, since it uses as much as digits as its factorization.

330101131133197 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15309, while the sum is 37.

The spelling of 330101131133197 in words is "three hundred thirty trillion, one hundred one billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred ninety-seven".