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122432113233 = 3219370484809
BaseRepresentation
bin111001000000110000…
…1011100101001010001
3102201000111121202122100
41302001201130221101
54001220110110413
6132124453031013
711562660535353
oct1620141345121
9381014552570
10122432113233
1147a17810861
121b88a325469
13b712037b21
145cd63650d3
1532b8771a73
hex1c8185ca51

122432113233 has 12 divisors (see below), whose sum is σ = 177762690820. Its totient is φ = 81198498816.

The previous prime is 122432113171. The next prime is 122432113259. The reversal of 122432113233 is 332311234221.

122432113233 is a `hidden beast` number, since 12 + 2 + 4 + 321 + 1 + 323 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20512827729 + 101919285504 = 143223^2 + 319248^2 .

It is not a de Polignac number, because 122432113233 - 213 = 122432105041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122432113197 and 122432113206.

It is not an unprimeable number, because it can be changed into a prime (122432113283) 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, 35240668 + ... + 35244141.

Almost surely, 2122432113233 is an apocalyptic number.

It is an amenable number.

122432113233 is a deficient number, since it is larger than the sum of its proper divisors (55330577587).

122432113233 is a wasteful number, since it uses less digits than its factorization.

122432113233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70485008 (or 70485005 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 122432113233 its reverse (332311234221), we get a palindrome (454743347454).

The spelling of 122432113233 in words is "one hundred twenty-two billion, four hundred thirty-two million, one hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 3 9 193 579 1737 70484809 211454427 634363281 13603568137 40810704411 122432113233