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11320123120 = 245141501539
BaseRepresentation
bin10101000101011101…
…10101111011110000
31002012220210211121021
422202232311323300
5141140422414440
65111141305224
7550344313255
oct124256657360
932186724537
1011320123120
114889a07059
12223b105214
1310b534c907
1479560142c
15463c2584a
hex2a2bb5ef0

11320123120 has 20 divisors (see below), whose sum is σ = 26319286440. Its totient is φ = 4528049216.

The previous prime is 11320123109. The next prime is 11320123121. The reversal of 11320123120 is 2132102311.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11320123094 and 11320123103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320123121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70750690 + ... + 70750849.

It is an arithmetic number, because the mean of its divisors is an integer number (1315964322).

Almost surely, 211320123120 is an apocalyptic number.

11320123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11320123120 is an abundant number, since it is smaller than the sum of its proper divisors (14999163320).

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

11320123120 is a wasteful number, since it uses less digits than its factorization.

11320123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141501552 (or 141501546 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11320123120 its reverse (2132102311), we get a palindrome (13452225431).

The spelling of 11320123120 in words is "eleven billion, three hundred twenty million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 141501539 283003078 566006156 707507695 1132012312 1415015390 2264024624 2830030780 5660061560 11320123120