Search a number
-
+
13222222102120 = 2351013272827253
BaseRepresentation
bin1100000001101000100111…
…0110011111111001101000
31201211000212101120222002011
43000122021312133321220
53213113102324231440
644042112135245304
72533162663324213
oct300321166377150
951730771528064
1013222222102120
114238570746149
12159667b519834
1374bb08b51a35
14339d5d58077a
1517de189ac9ea
hexc0689d9fe68

13222222102120 has 32 divisors (see below), whose sum is σ = 30044554191720. Its totient is φ = 5236523603200.

The previous prime is 13222222102097. The next prime is 13222222102273. The reversal of 13222222102120 is 2120122222231.

It is a happy number.

13222222102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12878523659556 + 343698442564 = 3588666^2 + 586258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13222222102091 and 13222222102100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1636409587 + ... + 1636417666.

Almost surely, 213222222102120 is an apocalyptic number.

13222222102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222222102120 is an abundant number, since it is smaller than the sum of its proper divisors (16822332089600).

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

13222222102120 is a wasteful number, since it uses less digits than its factorization.

13222222102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272827365 (or 3272827361 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13222222102120 its reverse (2120122222231), we get a palindrome (15342344324351).

The spelling of 13222222102120 in words is "thirteen trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 3272827253 6545654506 13091309012 16364136265 26182618024 32728272530 65456545060 130913090120 330555552553 661111105106 1322222210212 1652777762765 2644444420424 3305555525530 6611111051060 13222222102120