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1331113142097 = 322310935883347
BaseRepresentation
bin10011010111101100100…
…001101010011101010001
311201020211120012211111100
4103113230201222131101
5133302104431021342
62455301022135013
7165112140010434
oct23275441523521
94636746184440
101331113142097
11473581737372
12195b8b121469
13986a5c91cab
14485d779381b
152495a62de4c
hex135ec86a751

1331113142097 has 24 divisors (see below), whose sum is σ = 2008151406144. Its totient is φ = 848049025824.

The previous prime is 1331113142039. The next prime is 1331113142119. The reversal of 1331113142097 is 7902413111331.

1331113142097 is a `hidden beast` number, since 1 + 3 + 3 + 11 + 131 + 420 + 97 = 666.

It is not a de Polignac number, because 1331113142097 - 222 = 1331108947793 is a prime.

It is a super-2 number, since 2×13311131420972 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331113142027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2715423 + ... + 3167924.

It is an arithmetic number, because the mean of its divisors is an integer number (83672975256).

Almost surely, 21331113142097 is an apocalyptic number.

It is an amenable number.

1331113142097 is a deficient number, since it is larger than the sum of its proper divisors (677038264047).

1331113142097 is a wasteful number, since it uses less digits than its factorization.

1331113142097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884469 (or 5884466 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 1331113142097 in words is "one trillion, three hundred thirty-one billion, one hundred thirteen million, one hundred forty-two thousand, ninety-seven".

Divisors: 1 3 9 23 69 207 1093 3279 9837 25139 75417 226251 5883347 17650041 52950123 135316981 405950943 1217852829 6430498271 19291494813 57874484439 147901460233 443704380699 1331113142097