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122331103213 = 1121011000853
BaseRepresentation
bin111000111101110000…
…0000111111111101101
3102200202110112220221111
41301323200013333231
54001013230300323
6132110444032021
711560323135454
oct1617340077755
9380673486844
10122331103213
114797579a500
121b860532611
13b6c712c697
145cc6b8db9b
1532ae96cc0d
hex1c7b807fed

122331103213 has 6 divisors (see below), whose sum is σ = 134463113582. Its totient is φ = 111210093720.

The previous prime is 122331103171. The next prime is 122331103229. The reversal of 122331103213 is 312301133221.

It can be written as a sum of positive squares in only one way, i.e., 106029686884 + 16301416329 = 325622^2 + 127677^2 .

It is a de Polignac number, because none of the positive numbers 2k-122331103213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122331103253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505500306 + ... + 505500547.

Almost surely, 2122331103213 is an apocalyptic number.

It is an amenable number.

122331103213 is a deficient number, since it is larger than the sum of its proper divisors (12132010369).

122331103213 is a wasteful number, since it uses less digits than its factorization.

122331103213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011000875 (or 1011000864 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 122331103213 its reverse (312301133221), we get a palindrome (434632236434).

The spelling of 122331103213 in words is "one hundred twenty-two billion, three hundred thirty-one million, one hundred three thousand, two hundred thirteen".

Divisors: 1 11 121 1011000853 11121009383 122331103213