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330111230133213 = 3289444499271837
BaseRepresentation
bin100101100001111000000001…
…0100110111100001111011101
31121021211022210012202120020200
41023003300002212330033131
5321232020244403230323
63130031001111134113
7126350515006540044
oct11303600246741735
91537738705676220
10330111230133213
1196202428478a01
1231035927074339
1311227480b55c29
145b7367c4db55b
152826e3d71e443
hex12c3c029bc3dd

330111230133213 has 24 divisors (see below), whose sum is σ = 482195842947000. Its totient is φ = 217596491126784.

The previous prime is 330111230133199. The next prime is 330111230133239. The reversal of 330111230133213 is 312331032111033.

330111230133213 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 1 + 12 + 301 + 332 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74977120698489 + 255134109434724 = 8658933^2 + 15972918^2 .

It is not a de Polignac number, because 330111230133213 - 26 = 330111230133149 is a prime.

It is a super-2 number, since 2×3301112301332132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330111210133213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30967731 + ... + 40239567.

It is an arithmetic number, because the mean of its divisors is an integer number (20091493456125).

Almost surely, 2330111230133213 is an apocalyptic number.

It is an amenable number.

330111230133213 is a deficient number, since it is larger than the sum of its proper divisors (152084612813787).

330111230133213 is a wasteful number, since it uses less digits than its factorization.

330111230133213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9316381 (or 9316378 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 330111230133213 its reverse (312331032111033), we get a palindrome (642442262244246).

The spelling of 330111230133213 in words is "three hundred thirty trillion, one hundred eleven billion, two hundred thirty million, one hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 89 267 801 44449 133347 400041 3955961 9271837 11867883 27815511 35603649 83446533 825193493 2475580479 7426741437 412123882813 1236371648439 3709114945317 36679025570357 110037076711071 330111230133213