Search a number
-
+
12001310020 = 225789963187
BaseRepresentation
bin10110010110101010…
…10111010101000100
31010222101120201100201
423023111113111010
5144034313410040
65302513420244
7603255311020
oct131325272504
933871521321
1012001310020
1150a9476937
1223ab26a684
131193502b9b
1481bc7d380
154a392da9a
hex2cb557544

12001310020 has 48 divisors (see below), whose sum is σ = 29126805120. Its totient is φ = 4068497664.

The previous prime is 12001310017. The next prime is 12001310053. The reversal of 12001310020 is 2001310021.

12001310020 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 12001309979 and 12001310006.

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, 469134 + ... + 494053.

It is an arithmetic number, because the mean of its divisors is an integer number (606808440).

Almost surely, 212001310020 is an apocalyptic number.

12001310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001310020 is an abundant number, since it is smaller than the sum of its proper divisors (17125495100).

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

12001310020 is a wasteful number, since it uses less digits than its factorization.

12001310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963292 (or 963290 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12001310020 its reverse (2001310021), we get a palindrome (14002620041).

Subtracting from 12001310020 its reverse (2001310021), we obtain a palindrome (9999999999).

The spelling of 12001310020 in words is "twelve billion, one million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1780 2492 3115 6230 12460 963187 1926374 3852748 4815935 6742309 9631870 13484618 19263740 26969236 33711545 67423090 85723643 134846180 171447286 342894572 428618215 600065501 857236430 1200131002 1714472860 2400262004 3000327505 6000655010 12001310020