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330112021311 = 32311228996281
BaseRepresentation
bin1001100110111000011…
…01011011001100111111
31011120002002000012110200
410303130031123030333
520402032134140221
6411352410134543
732564324612052
oct4633415331477
91146062005420
10330112021311
11117aaa6a2626
1253b89a21453
132518b4860b7
1411d983caa99
1588c1064426
hex4cdc35b33f

330112021311 has 24 divisors (see below), whose sum is σ = 492255204480. Its totient is φ = 212955955200.

The previous prime is 330112021307. The next prime is 330112021357. The reversal of 330112021311 is 113120211033.

330112021311 is a `hidden beast` number, since 330 + 1 + 1 + 2 + 0 + 21 + 311 = 666.

It is not a de Polignac number, because 330112021311 - 22 = 330112021307 is a prime.

It is a super-2 number, since 2×3301120213112 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330112021381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3380491 + ... + 3476771.

It is an arithmetic number, because the mean of its divisors is an integer number (20510633520).

Almost surely, 2330112021311 is an apocalyptic number.

330112021311 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

330112021311 is a deficient number, since it is larger than the sum of its proper divisors (162143183169).

330112021311 is a wasteful number, since it uses less digits than its factorization.

330112021311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108607 (or 108604 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 330112021311 its reverse (113120211033), we get a palindrome (443232232344).

The spelling of 330112021311 in words is "three hundred thirty billion, one hundred twelve million, twenty-one thousand, three hundred eleven".

Divisors: 1 3 9 31 93 279 12289 36867 96281 110601 288843 380959 866529 1142877 2984711 3428631 8954133 26862399 1183197209 3549591627 10648774881 36679113479 110037340437 330112021311