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12200110100 = 2252122001101
BaseRepresentation
bin10110101110010111…
…01110100000010100
31011111020122210210122
423113023232200110
5144441212010400
65334334411112
7611221140053
oct132713564024
934436583718
1012200110100
1151a070a322
122445960a98
1311c5759c79
1483a42c39a
154b60ec685
hex2d72ee814

12200110100 has 18 divisors (see below), whose sum is σ = 26474239134. Its totient is φ = 4880044000.

The previous prime is 12200110099. The next prime is 12200110189. The reversal of 12200110100 is 101100221.

12200110100 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 3 ways, for example, as 751966084 + 11448144016 = 27422^2 + 106996^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 61000451 + ... + 61000650.

It is an arithmetic number, because the mean of its divisors is an integer number (1470791063).

Almost surely, 212200110100 is an apocalyptic number.

12200110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200110100 is an abundant number, since it is smaller than the sum of its proper divisors (14274129034).

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

12200110100 is a wasteful number, since it uses less digits than its factorization.

12200110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122001115 (or 122001108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12200110100 its reverse (101100221), we get a palindrome (12301210321).

The spelling of 12200110100 in words is "twelve billion, two hundred million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122001101 244002202 488004404 610005505 1220011010 2440022020 3050027525 6100055050 12200110100