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1332342432331 = 101107149827417
BaseRepresentation
bin10011011000110101110…
…011000010001001001011
311201101000020100020200021
4103120311303002021023
5133312114130313311
62500023014121311
7165154454550121
oct23306563021113
94641006306607
101332342432331
11474052629309
12196272950237
1398840870371
14486b2b49911
15249cd503171
hex13635cc224b

1332342432331 has 16 divisors (see below), whose sum is σ = 1367225503200. Its totient is φ = 1298050220800.

The previous prime is 1332342432259. The next prime is 1332342432353.

1332342432331 = T162378 + T162379 + ... + T162478.

It is a happy number.

1332342432331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1332342432331 - 229 = 1331805561419 is a prime.

It is a super-2 number, since 2×13323424323312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1332342432931) 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 15 ways as a sum of consecutive naturals, for example, 1196535 + ... + 2023951.

It is an arithmetic number, because the mean of its divisors is an integer number (85451593950).

Almost surely, 21332342432331 is an apocalyptic number.

1332342432331 is a deficient number, since it is larger than the sum of its proper divisors (34883070869).

1332342432331 is a wasteful number, since it uses less digits than its factorization.

1332342432331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827774.

The product of its digits is 93312, while the sum is 34.

The spelling of 1332342432331 in words is "one trillion, three hundred thirty-two billion, three hundred forty-two million, four hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 101 107 149 10807 15049 15943 827417 1610243 83569117 88533619 123285133 8941895519 12451798433 13191509231 1332342432331