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13221121332 = 2238091361879
BaseRepresentation
bin11000101000000101…
…00100110100110100
31021010101212112220110
430110002210310310
5204034101340312
610023530303020
7645426451146
oct142402446464
937111775813
1013221121332
115674a84161
12268b887a70
131329142923
148d5c88c96
15525a7e43c
hex3140a4d34

13221121332 has 24 divisors (see below), whose sum is σ = 30887438400. Its totient is φ = 4401589696.

The previous prime is 13221121313. The next prime is 13221121339. The reversal of 13221121332 is 23312112231.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13221121299 and 13221121308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221121339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671232 + ... + 690647.

It is an arithmetic number, because the mean of its divisors is an integer number (1286976600).

Almost surely, 213221121332 is an apocalyptic number.

13221121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13221121332 is an abundant number, since it is smaller than the sum of its proper divisors (17666317068).

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

13221121332 is a wasteful number, since it uses less digits than its factorization.

13221121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362695 (or 1362693 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 13221121332 its reverse (23312112231), we get a palindrome (36533233563).

The spelling of 13221121332 in words is "thirteen billion, two hundred twenty-one million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 809 1618 2427 3236 4854 9708 1361879 2723758 4085637 5447516 8171274 16342548 1101760111 2203520222 3305280333 4407040444 6610560666 13221121332