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10114521220 = 2251806128001
BaseRepresentation
bin10010110101101111…
…10101100010000100
3222002220020220201001
421122313311202010
5131203304134340
64351353143044
7505435004026
oct113267654204
928086226631
1010114521220
114320424551
121b633baa84
13c526466cb
146bd454016
153e2e8029a
hex25adf5884

10114521220 has 24 divisors (see below), whose sum is σ = 21242429208. Its totient is φ = 4045440000.

The previous prime is 10114521191. The next prime is 10114521223. The reversal of 10114521220 is 2212541101.

10114521220 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 4 ways, for example, as 3082692484 + 7031828736 = 55522^2 + 83856^2 .

It is not an unprimeable number, because it can be changed into a prime (10114521223) 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, 347220 + ... + 375220.

It is an arithmetic number, because the mean of its divisors is an integer number (885101217).

Almost surely, 210114521220 is an apocalyptic number.

10114521220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114521220 is an abundant number, since it is smaller than the sum of its proper divisors (11127907988).

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

10114521220 is a wasteful number, since it uses less digits than its factorization.

10114521220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46071 (or 46069 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The spelling of 10114521220 in words is "ten billion, one hundred fourteen million, five hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 18061 28001 36122 56002 72244 90305 112004 140005 180610 280010 361220 560020 505726061 1011452122 2022904244 2528630305 5057260610 10114521220