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13431012 = 22371271259
BaseRepresentation
bin110011001111…
…000011100100
3221021100212220
4303033003210
511414243022
61155512340
7222106320
oct63170344
927240786
1013431012
117643a11
1245b86b0
132a2345a
141ad8980
1512a485c
hexccf0e4

13431012 has 48 divisors (see below), whose sum is σ = 36126720. Its totient is φ = 3804192.

The previous prime is 13430993. The next prime is 13431017. The reversal of 13431012 is 21013431.

13431012 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 = 13430982 and 13431000.

It is not an unprimeable number, because it can be changed into a prime (13431017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10039 + ... + 11297.

It is an arithmetic number, because the mean of its divisors is an integer number (752640).

Almost surely, 213431012 is an apocalyptic number.

13431012 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 13431012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063360).

13431012 is an abundant number, since it is smaller than the sum of its proper divisors (22695708).

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

13431012 is a wasteful number, since it uses less digits than its factorization.

13431012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1398 counting only the distinct ones).

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

The square root of 13431012 is about 3664.8345119528. The cubic root of 13431012 is about 237.7038663208.

Adding to 13431012 its reverse (21013431), we get a palindrome (34444443).

The spelling of 13431012 in words is "thirteen million, four hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1259 1524 1778 2518 2667 3556 3777 5036 5334 7554 8813 10668 15108 17626 26439 35252 52878 105756 159893 319786 479679 639572 959358 1119251 1918716 2238502 3357753 4477004 6715506 13431012