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11322300120 = 2335151624851
BaseRepresentation
bin10101000101101110…
…01001011011011000
31002020001220102212220
422202313021123120
5141142002100440
65111300104040
7550401651225
oct124267113330
932201812786
1011322300120
11489016372a
12223b995020
1310b5932791
14795a0a94c
154640058d0
hex2a2dc96d8

11322300120 has 64 divisors (see below), whose sum is σ = 34191901440. Its totient is φ = 2999280000.

The previous prime is 11322300109. The next prime is 11322300133. The reversal of 11322300120 is 2100322311.

11322300120 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11322300120.

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, 294306 + ... + 330545.

It is an arithmetic number, because the mean of its divisors is an integer number (534248460).

Almost surely, 211322300120 is an apocalyptic number.

11322300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11322300120 is an abundant number, since it is smaller than the sum of its proper divisors (22869601320).

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

11322300120 is a wasteful number, since it uses less digits than its factorization.

11322300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625016 (or 625012 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11322300120 its reverse (2100322311), we get a palindrome (13422622431).

The spelling of 11322300120 in words is "eleven billion, three hundred twenty-two million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 4530 6040 9060 18120 624851 1249702 1874553 2499404 3124255 3749106 4998808 6248510 7498212 9372765 12497020 14996424 18745530 24994040 37491060 74982120 94352501 188705002 283057503 377410004 471762505 566115006 754820008 943525010 1132230012 1415287515 1887050020 2264460024 2830575030 3774100040 5661150060 11322300120