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13044000120 = 23352343131839
BaseRepresentation
bin11000010010111101…
…11010010101111000
31020200001120212021120
430021132322111320
5203203231000440
65554202105240
7641146112604
oct141136722570
936601525246
1013044000120
115593aa8398
1226404ab220
1312cb539188
148ba540504
15515243dd0
hex3097ba578

13044000120 has 256 divisors, whose sum is σ = 42152140800. Its totient is φ = 3221137920.

The previous prime is 13044000037. The next prime is 13044000127. The reversal of 13044000120 is 2100044031.

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 13044000120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044000127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15546661 + ... + 15547499.

It is an arithmetic number, because the mean of its divisors is an integer number (164656800).

Almost surely, 213044000120 is an apocalyptic number.

13044000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13044000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21076070400).

13044000120 is an abundant number, since it is smaller than the sum of its proper divisors (29108140680).

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

13044000120 is a wasteful number, since it uses less digits than its factorization.

13044000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13044000120 its reverse (2100044031), we get a palindrome (15144044151).

The spelling of 13044000120 in words is "thirteen billion, forty-four million, one hundred twenty", and thus it is an aban number.