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331132322414412 = 22329198120067067
BaseRepresentation
bin100101101001010011100000…
…0011100110111111101001100
31121102102221101220000220002200
41023102213000130313331030
5321400232444014230122
63132132031110321500
7126514343431660221
oct11322470034677514
91542387356026080
10331132322414412
119656647a445952
123117b7b4959290
131129c84aba691c
145baac65d19948
1528437a1a605ac
hex12d29c0737f4c

331132322414412 has 18 divisors (see below), whose sum is σ = 837028926103188. Its totient is φ = 110377440804792.

The previous prime is 331132322414407. The next prime is 331132322414437. The reversal of 331132322414412 is 214414223231133.

331132322414412 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 3 + 2 + 3 + 224 + 14 + 412 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3311323224144122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9198120067067 = 331132322414412 / (3 + 3 + 1 + 1 + 3 + 2 + 3 + 2 + 2 + 4 + 1 + 4 + 4 + 1 + 2).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4599060033498 + ... + 4599060033569.

Almost surely, 2331132322414412 is an apocalyptic number.

It is an amenable number.

331132322414412 is an abundant number, since it is smaller than the sum of its proper divisors (505896603688776).

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

331132322414412 is a wasteful number, since it uses less digits than its factorization.

331132322414412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9198120067077 (or 9198120067072 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 331132322414412 its reverse (214414223231133), we get a palindrome (545546545645545).

The spelling of 331132322414412 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, three hundred twenty-two million, four hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 9198120067067 18396240134134 27594360201201 36792480268268 55188720402402 82783080603603 110377440804804 165566161207206 331132322414412