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213231103131033 = 32131822488060949
BaseRepresentation
bin110000011110111010111100…
…001010000011110110011001
31000221222200202012110001000100
4300132322330022003312121
5210422034244400143113
62033301003320130013
762625303341305431
oct6036727412036631
91027880665401010
10213231103131033
1161a3a891880a09
121bab9749006909
1391c97b70373c0
143a9262488b2c1
15199b96c577d73
hexc1eebc283d99

213231103131033 has 12 divisors (see below), whose sum is σ = 331692827092900. Its totient is φ = 131219140388256.

The previous prime is 213231103131019. The next prime is 213231103131071. The reversal of 213231103131033 is 330131301132312.

213231103131033 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 311 + 0 + 3 + 1 + 310 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112956254535744 + 100274848595289 = 10628088^2 + 10013733^2 .

It is not a de Polignac number, because 213231103131033 - 237 = 213093664177561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213231103130988 and 213231103131006.

It is not an unprimeable number, because it can be changed into a prime (213231103131133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 911244030358 + ... + 911244030591.

Almost surely, 2213231103131033 is an apocalyptic number.

It is an amenable number.

213231103131033 is a deficient number, since it is larger than the sum of its proper divisors (118461723961867).

213231103131033 is a wasteful number, since it uses less digits than its factorization.

213231103131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822488060968 (or 1822488060965 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 213231103131033 its reverse (330131301132312), we get a palindrome (543362404263345).

The spelling of 213231103131033 in words is "two hundred thirteen trillion, two hundred thirty-one billion, one hundred three million, one hundred thirty-one thousand, thirty-three".

Divisors: 1 3 9 13 39 117 1822488060949 5467464182847 16402392548541 23692344792337 71077034377011 213231103131033