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13100123322 = 23211213462673
BaseRepresentation
bin11000011001101010…
…00000010010111010
31020210222012012211200
430030311000102322
5203312112421242
610003525035030
7642430132236
oct141465002272
936728165750
1013100123322
115612750600
122657255a76
13130a059680
148c3b8d5c6
1551a12d04c
hex30cd404ba

13100123322 has 72 divisors (see below), whose sum is σ = 33598460532. Its totient is φ = 3664362240.

The previous prime is 13100123299. The next prime is 13100123327. The reversal of 13100123322 is 22332100131.

It can be written as a sum of positive squares in 2 ways, for example, as 13089876921 + 10246401 = 114411^2 + 3201^2 .

It is a super-2 number, since 2×131001233222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13100123295 and 13100123304.

It is not an unprimeable number, because it can be changed into a prime (13100123327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203023 + ... + 259650.

Almost surely, 213100123322 is an apocalyptic number.

13100123322 is an abundant number, since it is smaller than the sum of its proper divisors (20498337210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13100123322 is a wasteful number, since it uses less digits than its factorization.

13100123322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462716 (or 462702 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13100123322 its reverse (22332100131), we get a palindrome (35432223453).

The spelling of 13100123322 in words is "thirteen billion, one hundred million, one hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 2178 2574 3146 4719 9438 14157 28314 462673 925346 1388019 2776038 4164057 5089403 6014749 8328114 10178806 12029498 15268209 18044247 30536418 36088494 45804627 54132741 55983433 66162239 91609254 108265482 111966866 132324478 167950299 198486717 335900598 396973434 503850897 595460151 727784629 1007701794 1190920302 1455569258 2183353887 4366707774 6550061661 13100123322