Search a number
-
+
10871018820 = 2232560394549
BaseRepresentation
bin10100001111111011…
…01001010101000100
31001001121201222022200
422013331221111010
5134230440100240
64554415354500
7533252064264
oct120775512504
931047658280
1010871018820
114679452382
122134822a30
1310432a781c
14751ad77a4
154395b2930
hex287f69544

10871018820 has 36 divisors (see below), whose sum is σ = 32975424300. Its totient is φ = 2898938304.

The previous prime is 10871018783. The next prime is 10871018861. The reversal of 10871018820 is 2881017801.

10871018820 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 6682081536 + 4188937284 = 81744^2 + 64722^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 30197095 + ... + 30197454.

Almost surely, 210871018820 is an apocalyptic number.

10871018820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10871018820 is an abundant number, since it is smaller than the sum of its proper divisors (22104405480).

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

10871018820 is a wasteful number, since it uses less digits than its factorization.

10871018820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60394564 (or 60394559 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 10871018820 in words is "ten billion, eight hundred seventy-one million, eighteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 60394549 120789098 181183647 241578196 301972745 362367294 543550941 603945490 724734588 905918235 1087101882 1207890980 1811836470 2174203764 2717754705 3623672940 5435509410 10871018820