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13222300100 = 2252132223001
BaseRepresentation
bin11000101000001110…
…00100100111000100
31021010111002102212112
430110013010213010
5204034402100400
610024011440152
7645442460612
oct142407044704
937114072775
1013222300100
115675709849
122690156058
131329466319
148d60b46b2
15525c13835
hex3141c49c4

13222300100 has 18 divisors (see below), whose sum is σ = 28692391434. Its totient is φ = 5288920000.

The previous prime is 13222300067. The next prime is 13222300129. The reversal of 13222300100 is 100322231.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 63457156 + 13158842944 = 7966^2 + 114712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66111401 + ... + 66111600.

Almost surely, 213222300100 is an apocalyptic number.

13222300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222300100 is an abundant number, since it is smaller than the sum of its proper divisors (15470091334).

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

13222300100 is a wasteful number, since it uses less digits than its factorization.

13222300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132223015 (or 132223008 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13222300100 its reverse (100322231), we get a palindrome (13322622331).

The spelling of 13222300100 in words is "thirteen billion, two hundred twenty-two million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 132223001 264446002 528892004 661115005 1322230010 2644460020 3305575025 6611150050 13222300100