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13220010312 = 2333714887399
BaseRepresentation
bin11000100111111100…
…10101100101001000
31021010022210002212120
430103332111211020
5204033310312222
610023450411240
7645414143055
oct142376254510
937108702776
1013220010312
115674395463
12268b430b20
131328b44012
148d5a7a02c
1552591015c
hex313f95948

13220010312 has 32 divisors (see below), whose sum is σ = 33943272000. Its totient is φ = 4287570624.

The previous prime is 13220010283. The next prime is 13220010319. The reversal of 13220010312 is 21301002231.

13220010312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13220010291 and 13220010300.

It is not an unprimeable number, because it can be changed into a prime (13220010319) 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 7 ways as a sum of consecutive naturals, for example, 7442812 + ... + 7444587.

It is an arithmetic number, because the mean of its divisors is an integer number (1060727250).

Almost surely, 213220010312 is an apocalyptic number.

13220010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13220010312 is an abundant number, since it is smaller than the sum of its proper divisors (20723261688).

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

13220010312 is a wasteful number, since it uses less digits than its factorization.

13220010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14887445 (or 14887441 counting only the distinct ones).

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

Adding to 13220010312 its reverse (21301002231), we get a palindrome (34521012543).

The spelling of 13220010312 in words is "thirteen billion, two hundred twenty million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 14887399 29774798 44662197 59549596 89324394 119099192 178648788 357297576 550833763 1101667526 1652501289 2203335052 3305002578 4406670104 6610005156 13220010312