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12102201100 = 22521111002001
BaseRepresentation
bin10110100010101100…
…01110111100001100
31011020102102111220101
423101112032330030
5144241130413400
65320520100444
7605622004063
oct132126167414
934212374811
1012102201100
1151504168a0
122419004724
1311ab399152
1482b4231da
154ac70c56a
hex2d158ef0c

12102201100 has 36 divisors (see below), whose sum is σ = 28649213208. Its totient is φ = 4400800000.

The previous prime is 12102201053. The next prime is 12102201103. The reversal of 12102201100 is 110220121.

12102201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12102201103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5499901 + ... + 5502100.

It is an arithmetic number, because the mean of its divisors is an integer number (795811478).

Almost surely, 212102201100 is an apocalyptic number.

12102201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102201100 is an abundant number, since it is smaller than the sum of its proper divisors (16547012108).

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

12102201100 is a wasteful number, since it uses less digits than its factorization.

12102201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11002026 (or 11002019 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12102201100 its reverse (110220121), we get a palindrome (12212421221).

The spelling of 12102201100 in words is "twelve billion, one hundred two million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 11002001 22004002 44008004 55010005 110020010 121022011 220040020 242044022 275050025 484088044 550100050 605110055 1100200100 1210220110 2420440220 3025550275 6051100550 12102201100