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1313132122332 = 223294333866839
BaseRepresentation
bin10011000110111100110…
…001100001000011011100
311122112102102202101110100
4103012330301201003130
5133003243310403312
62443124454341100
7163604431606332
oct23067461410334
94575372671410
101313132122332
11466994939058
121925b135a790
1396a9b978924
14477ad6a7b52
1524256c745dc
hex131bcc610dc

1313132122332 has 36 divisors (see below), whose sum is σ = 3319658938960. Its totient is φ = 437664192192.

The previous prime is 1313132122303. The next prime is 1313132122339. The reversal of 1313132122332 is 2332212313131.

1313132122332 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 321 + 2 + 2 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13131321223322 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1313132122296 and 1313132122305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313132122339) 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 11 ways as a sum of consecutive naturals, for example, 1593832 + ... + 2273007.

Almost surely, 21313132122332 is an apocalyptic number.

1313132122332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313132122332 is an abundant number, since it is smaller than the sum of its proper divisors (2006526816628).

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

1313132122332 is a wasteful number, since it uses less digits than its factorization.

1313132122332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876282 (or 3876277 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1313132122332 its reverse (2332212313131), we get a palindrome (3645344435463).

The spelling of 1313132122332 in words is "one trillion, three hundred thirteen billion, one hundred thirty-two million, one hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 9433 18866 28299 37732 56598 84897 113196 169794 339588 3866839 7733678 11600517 15467356 23201034 34801551 46402068 69603102 139206204 36475892287 72951784574 109427676861 145903569148 218855353722 328283030583 437710707444 656566061166 1313132122332