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330321112131132 = 22348907111446033
BaseRepresentation
bin100101100011011001110000…
…0100011001110011000111100
31121022120101112020202202110000
41023012303200203032120330
5321243440114201144012
63130311231330514300
7126401625043225443
oct11306634043163074
91538511466682400
10330321112131132
1196283440387431
123106a540135990
13112411bb587b45
145b7d8acbc5d5a
15282c6244e2ddc
hex12c6ce08ce63c

330321112131132 has 60 divisors (see below), whose sum is σ = 863534405959456. Its totient is φ = 110105791585920.

The previous prime is 330321112131061. The next prime is 330321112131163. The reversal of 330321112131132 is 231131211123033.

330321112131132 is a `hidden beast` number, since 3 + 3 + 0 + 321 + 1 + 1 + 21 + 311 + 3 + 2 = 666.

It is a super-2 number, since 2×3303211121311322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 330321112131096 and 330321112131105.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 23135988 + ... + 34582020.

Almost surely, 2330321112131132 is an apocalyptic number.

It is an amenable number.

330321112131132 is an abundant number, since it is smaller than the sum of its proper divisors (533213293828324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330321112131132 is a wasteful number, since it uses less digits than its factorization.

330321112131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11535120 (or 11535109 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 330321112131132 its reverse (231131211123033), we get a palindrome (561452323254165).

The spelling of 330321112131132 in words is "three hundred thirty trillion, three hundred twenty-one billion, one hundred twelve million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 89071 178142 267213 356284 534426 801639 1068852 1603278 2404917 3206556 4809834 7214751 9619668 11446033 14429502 22892066 28859004 34338099 45784132 68676198 103014297 137352396 206028594 309042891 412057188 618085782 927128673 1236171564 1854257346 3708514692 1019509605343 2039019210686 3058528816029 4078038421372 6117057632058 9175586448087 12234115264116 18351172896174 27526759344261 36702345792348 55053518688522 82580278032783 110107037377044 165160556065566 330321112131132