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332112332331 = 3513105132109
BaseRepresentation
bin1001101010100110111…
…00000000011000101011
31011202020110221112100000
410311103130000120223
520420131224113311
6412323103514043
732665024150443
oct4652334003053
91152213845300
10332112332331
1111893683192a
12544478b8923
1325419a0bba0
1412107d27123
15898b989056
hex4d5370062b

332112332331 has 24 divisors (see below), whose sum is σ = 535753232560. Its totient is φ = 204376817952.

The previous prime is 332112332309. The next prime is 332112332353. The reversal of 332112332331 is 133233211233.

332112332331 is a `hidden beast` number, since 3 + 321 + 1 + 2 + 3 + 3 + 2 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (332112332309) and next prime (332112332353).

It is not a de Polignac number, because 332112332331 - 27 = 332112332203 is a prime.

It is a super-2 number, since 2×3321123323312 (a number of 24 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 = 332112332295 and 332112332304.

It is not an unprimeable number, because it can be changed into a prime (332112332831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52562896 + ... + 52569213.

Almost surely, 2332112332331 is an apocalyptic number.

332112332331 is a deficient number, since it is larger than the sum of its proper divisors (203640900229).

332112332331 is a wasteful number, since it uses less digits than its factorization.

332112332331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105132137 (or 105132125 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 332112332331 its reverse (133233211233), we get a palindrome (465345543564).

The spelling of 332112332331 in words is "three hundred thirty-two billion, one hundred twelve million, three hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3159 105132109 315396327 946188981 1366717417 2838566943 4100152251 8515700829 12300456753 25547102487 36901370259 110704110777 332112332331