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13110012330 = 2357313145697
BaseRepresentation
bin11000011010110101…
…01110100110101010
31020211122210122000020
430031122232212222
5203322130343310
610004521021310
7642610160202
oct141532564652
936748718006
1013110012330
115618295338
12265a624836
13130c10c85c
148c5205402
1551ae33170
hex30d6ae9aa

13110012330 has 64 divisors (see below), whose sum is σ = 32139220608. Its totient is φ = 3421716480.

The previous prime is 13110012329. The next prime is 13110012337. The reversal of 13110012330 is 3321001131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13110012337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264042 + ... + 309738.

It is an arithmetic number, because the mean of its divisors is an integer number (502175322).

Almost surely, 213110012330 is an apocalyptic number.

13110012330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110012330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16069610304).

13110012330 is an abundant number, since it is smaller than the sum of its proper divisors (19029208278).

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

13110012330 is a wasteful number, since it uses less digits than its factorization.

13110012330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45911.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13110012330 its reverse (3321001131), we get a palindrome (16431013461).

The spelling of 13110012330 in words is "thirteen billion, one hundred ten million, twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 131 146 219 262 365 393 438 655 730 786 1095 1310 1965 2190 3930 9563 19126 28689 45697 47815 57378 91394 95630 137091 143445 228485 274182 286890 456970 685455 1370910 3335881 5986307 6671762 10007643 11972614 16679405 17958921 20015286 29931535 33358810 35917842 50038215 59863070 89794605 100076430 179589210 437000411 874000822 1311001233 2185002055 2622002466 4370004110 6555006165 13110012330