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13110621432 = 23331119314771
BaseRepresentation
bin11000011010111010…
…00011010011111000
31020211200221120112120
430031131003103320
5203322304341212
610004542041240
7642615305046
oct141535032370
936750846476
1013110621432
115618670a27
12265a879220
13130c293b7c
148c5323396
1551b00388c
hex30d7434f8

13110621432 has 64 divisors (see below), whose sum is σ = 33864514560. Its totient is φ = 4225401600.

The previous prime is 13110621431. The next prime is 13110621497. The reversal of 13110621432 is 23412601131.

It is a happy number.

13110621432 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110621431) by changing a digit.

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, 880207 + ... + 894977.

It is an arithmetic number, because the mean of its divisors is an integer number (529133040).

Almost surely, 213110621432 is an apocalyptic number.

13110621432 is a gapful number since it is divisible by the number (12) 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 13110621432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16932257280).

13110621432 is an abundant number, since it is smaller than the sum of its proper divisors (20753893128).

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

13110621432 is a wasteful number, since it uses less digits than its factorization.

13110621432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16004 (or 16000 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 13110621432 in words is "thirteen billion, one hundred ten million, six hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1193 2386 3579 4772 7158 9544 14316 14771 28632 29542 36983 44313 59084 73966 88626 110949 118168 147932 177252 221898 295864 354504 443796 457901 887592 915802 1373703 1831604 2747406 3663208 5494812 10989624 17621803 35243606 52865409 70487212 105730818 140974424 211461636 422923272 546275893 1092551786 1638827679 2185103572 3277655358 4370207144 6555310716 13110621432