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330313123231 = 71332029113329
BaseRepresentation
bin1001100111010000011…
…00100100010110011111
31011120121002102020102221
410303220030210112133
520402440124420411
6411424352330211
732602316136040
oct4635014442637
91146532366387
10330313123231
111180a3168463
1254025243967
13251c1037b10
1411db6db88c7
1588d3a3a071
hex4ce832459f

330313123231 has 16 divisors (see below), whose sum is σ = 406555508800. Its totient is φ = 261336181248.

The previous prime is 330313123181. The next prime is 330313123241. The reversal of 330313123231 is 132321313033.

It is a cyclic number.

It is not a de Polignac number, because 330313123231 - 221 = 330311026079 is a prime.

It is a super-3 number, since 3×3303131232313 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 330313123196 and 330313123205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330313123241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2857975 + ... + 2971303.

It is an arithmetic number, because the mean of its divisors is an integer number (25409719300).

Almost surely, 2330313123231 is an apocalyptic number.

330313123231 is a deficient number, since it is larger than the sum of its proper divisors (76242385569).

330313123231 is a wasteful number, since it uses less digits than its factorization.

330313123231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145378.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 330313123231 its reverse (132321313033), we get a palindrome (462634436264).

The spelling of 330313123231 in words is "three hundred thirty billion, three hundred thirteen million, one hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 7 13 91 32029 113329 224203 416377 793303 1473277 2914639 10312939 3629814541 25408701787 47187589033 330313123231