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13221112100 = 22527101187003
BaseRepresentation
bin11000101000000101…
…00010100100100100
31021010101212002020112
430110002202210210
5204034101041400
610023530152152
7645426412220
oct142402424444
937111762215
1013221112100
115674a78229
12268b882658
13132913b671
148d5c85780
15525a7b835
hex3140a2924

13221112100 has 72 divisors (see below), whose sum is σ = 33113172288. Its totient is φ = 4488048000.

The previous prime is 13221112087. The next prime is 13221112111. The reversal of 13221112100 is 121112231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22802 + ... + 164201.

Almost surely, 213221112100 is an apocalyptic number.

13221112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221112100 is an abundant number, since it is smaller than the sum of its proper divisors (19892060188).

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

13221112100 is a wasteful number, since it uses less digits than its factorization.

13221112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187125 (or 187118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 13221112100 its reverse (121112231), we get a palindrome (13342224331).

The spelling of 13221112100 in words is "thirteen billion, two hundred twenty-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 35350 70700 187003 374006 748012 935015 1309021 1870030 2618042 3740060 4675075 5236084 6545105 9350150 13090210 18700300 18887303 26180420 32725525 37774606 65451050 75549212 94436515 130902100 132211121 188873030 264422242 377746060 472182575 528844484 661055605 944365150 1322111210 1888730300 2644222420 3305278025 6610556050 13221112100