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13311122012132 = 227267913887817
BaseRepresentation
bin1100000110110011110010…
…1100101111011111100100
31202010112022222110022102212
43001230330230233133210
53221042134213342012
644151013421022552
72542461004151300
oct301547454573744
952115288408385
1013311122012132
1142722403a035a
1215ab94b9b4a58
13757305a91399
14340394318d00
151813bd486b22
hexc1b3cb2f7e4

13311122012132 has 18 divisors (see below), whose sum is σ = 27097641239382. Its totient is φ = 5704766576544.

The previous prime is 13311122012101. The next prime is 13311122012137. The reversal of 13311122012132 is 23121022111331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 13106181100516 + 204940911616 = 3620246^2 + 452704^2 .

It is a super-3 number, since 3×133111220121323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13311122012098 and 13311122012107.

It is not an unprimeable number, because it can be changed into a prime (13311122012137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33956943713 + ... + 33956944104.

It is an arithmetic number, because the mean of its divisors is an integer number (1505424513299).

Almost surely, 213311122012132 is an apocalyptic number.

It is an amenable number.

13311122012132 is an abundant number, since it is smaller than the sum of its proper divisors (13786519227250).

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

13311122012132 is a wasteful number, since it uses less digits than its factorization.

13311122012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67913887835 (or 67913887826 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 13311122012132 its reverse (23121022111331), we get a palindrome (36432144123463).

The spelling of 13311122012132 in words is "thirteen trillion, three hundred eleven billion, one hundred twenty-two million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 67913887817 135827775634 271655551268 475397214719 950794429438 1901588858876 3327780503033 6655561006066 13311122012132