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10455121160 = 2351122160149
BaseRepresentation
bin10011011110010110…
…00111110100001000
3222222122011011222122
421233023013310020
5132403002334120
64445241310412
7520042030541
oct115713076410
928878134878
1010455121160
114485709300
122039495408
13ca808b133
147127954c8
15412d0da25
hex26f2c7d08

10455121160 has 48 divisors (see below), whose sum is σ = 25856995500. Its totient is φ = 3801860480.

The previous prime is 10455121139. The next prime is 10455121177. The reversal of 10455121160 is 6112155401.

10455121160 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 2 ways, for example, as 9857709796 + 597411364 = 99286^2 + 24442^2 .

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 11 ways as a sum of consecutive naturals, for example, 1075235 + ... + 1084914.

Almost surely, 210455121160 is an apocalyptic number.

10455121160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10455121160 is an abundant number, since it is smaller than the sum of its proper divisors (15401874340).

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

10455121160 is a wasteful number, since it uses less digits than its factorization.

10455121160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160182 (or 2160167 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 10455121160 its reverse (6112155401), we get a palindrome (16567276561).

The spelling of 10455121160 in words is "ten billion, four hundred fifty-five million, one hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 2160149 4320298 8640596 10800745 17281192 21601490 23761639 43202980 47523278 86405960 95046556 118808195 190093112 237616390 261378029 475232780 522756058 950465560 1045512116 1306890145 2091024232 2613780290 5227560580 10455121160