Search a number
-
+
11310300120 = 2335713464643
BaseRepresentation
bin10101000100010010…
…10111101111011000
31002012020022202222110
422202021113233120
5141130414100440
65110150552320
7550164651630
oct124211275730
932166282873
1011310300120
114884407979
1222379686a0
1310b32c07a2
147941a56c0
15462e35080
hex2a2257bd8

11310300120 has 64 divisors (see below), whose sum is σ = 38778174720. Its totient is φ = 2585211264.

The previous prime is 11310300103. The next prime is 11310300143. The reversal of 11310300120 is 2100301311.

11310300120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 11310300096 and 11310300105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6731482 + ... + 6733161.

It is an arithmetic number, because the mean of its divisors is an integer number (605908980).

Almost surely, 211310300120 is an apocalyptic number.

11310300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310300120 is an abundant number, since it is smaller than the sum of its proper divisors (27467874600).

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

11310300120 is a wasteful number, since it uses less digits than its factorization.

11310300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13464664 (or 13464660 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11310300120 its reverse (2100301311), we get a palindrome (13410601431).

The spelling of 11310300120 in words is "eleven billion, three hundred ten million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 13464643 26929286 40393929 53858572 67323215 80787858 94252501 107717144 134646430 161575716 188505002 201969645 269292860 282757503 323151432 377010004 403939290 471262505 538585720 565515006 754020008 807878580 942525010 1131030012 1413787515 1615757160 1885050020 2262060024 2827575030 3770100040 5655150060 11310300120