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14131000020 = 2235239398419
BaseRepresentation
bin11010010100100010…
…11111001011010100
31100110210222011211010
431022101133023110
5212420014000040
610254112212220
71010115342534
oct151221371324
940423864733
1014131000020
115aa1643515
1228a453a070
1314427b7897
14980a574c4
1557a8ace80
hex34a45f2d4

14131000020 has 48 divisors (see below), whose sum is σ = 39583736640. Its totient is φ = 3766653696.

The previous prime is 14130999983. The next prime is 14131000031. The reversal of 14131000020 is 2000013141.

It is a happy number.

14131000020 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 (12).

It is a congruent number.

It is an unprimeable number.

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, 94371 + ... + 192789.

It is an arithmetic number, because the mean of its divisors is an integer number (824661180).

Almost surely, 214131000020 is an apocalyptic number.

14131000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14131000020 is an abundant number, since it is smaller than the sum of its proper divisors (25452736620).

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

14131000020 is a wasteful number, since it uses less digits than its factorization.

14131000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100824 (or 100822 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 14131000020 its reverse (2000013141), we get a palindrome (16131013161).

The spelling of 14131000020 in words is "fourteen billion, one hundred thirty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2393 4786 7179 9572 11965 14358 23930 28716 35895 47860 71790 98419 143580 196838 295257 393676 492095 590514 984190 1181028 1476285 1968380 2952570 5905140 235516667 471033334 706550001 942066668 1177583335 1413100002 2355166670 2826200004 3532750005 4710333340 7065500010 14131000020