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13220112100 = 22521310169317
BaseRepresentation
bin11000100111111101…
…01110011011100100
31021010022222021111111
430103332232123210
5204033322041400
610023452514404
7645415045606
oct142376563344
937108867444
1013220112100
115674454988
12268b47ba04
131328b7b450
148d5aa5176
155259303ba
hex313fae6e4

13220112100 has 36 divisors (see below), whose sum is σ = 30894388084. Its totient is φ = 4881271680.

The previous prime is 13220112083. The next prime is 13220112127. The reversal of 13220112100 is 121102231.

It can be written as a sum of positive squares in 6 ways, for example, as 1144739556 + 12075372544 = 33834^2 + 109888^2 .

It is a super-3 number, since 3×132201121003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5083359 + ... + 5085958.

Almost surely, 213220112100 is an apocalyptic number.

13220112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220112100 is an abundant number, since it is smaller than the sum of its proper divisors (17674275984).

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

13220112100 is a wasteful number, since it uses less digits than its factorization.

13220112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10169344 (or 10169337 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 13220112100 its reverse (121102231), we get a palindrome (13341214331).

The spelling of 13220112100 in words is "thirteen billion, two hundred twenty million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 10169317 20338634 40677268 50846585 101693170 132201121 203386340 254232925 264402242 508465850 528804484 661005605 1016931700 1322011210 2644022420 3305028025 6610056050 13220112100