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11225510120 = 2351125512523
BaseRepresentation
bin10100111010001011…
…11011000011101000
31001222022202222222002
422131011323003220
5140442212310440
65053521350132
7545115155516
oct123505730350
931868688862
1011225510120
1148405649a0
122213498348
13109b8740a6
14786c134b6
1545a787115
hex29d17b0e8

11225510120 has 32 divisors (see below), whose sum is σ = 27553525920. Its totient is φ = 4082003520.

The previous prime is 11225510071. The next prime is 11225510123. The reversal of 11225510120 is 2101552211.

11225510120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 11225510092 and 11225510101.

It is not an unprimeable number, because it can be changed into a prime (11225510123) 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 7 ways as a sum of consecutive naturals, for example, 12755822 + ... + 12756701.

It is an arithmetic number, because the mean of its divisors is an integer number (861047685).

Almost surely, 211225510120 is an apocalyptic number.

11225510120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11225510120 is an abundant number, since it is smaller than the sum of its proper divisors (16328015800).

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

11225510120 is a wasteful number, since it uses less digits than its factorization.

11225510120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25512545 (or 25512541 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The spelling of 11225510120 in words is "eleven billion, two hundred twenty-five million, five hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 25512523 51025046 102050092 127562615 204100184 255125230 280637753 510250460 561275506 1020500920 1122551012 1403188765 2245102024 2806377530 5612755060 11225510120