Search a number
-
+
2001321300020 = 225789160619687
BaseRepresentation
bin11101000111111000000…
…010111001000000110100
321002022202112002211211212
4131013320002321000310
5230242201223100040
64131221101020552
7264406415240510
oct35077002710064
97068675084755
102001321300020
11701834777079
12283a52554758
131169542193c3
146cc16157140
15370d3ec8d65
hex1d1f80b9034

2001321300020 has 48 divisors (see below), whose sum is σ = 4857139365120. Its totient is φ = 678457553664.

The previous prime is 2001321300007. The next prime is 2001321300023. The reversal of 2001321300020 is 200031231002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2001321299968 and 2001321300004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001321300023) 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, 80297384 + ... + 80322303.

It is an arithmetic number, because the mean of its divisors is an integer number (101190403440).

Almost surely, 22001321300020 is an apocalyptic number.

2001321300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001321300020 is an abundant number, since it is smaller than the sum of its proper divisors (2855818065100).

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

2001321300020 is a wasteful number, since it uses less digits than its factorization.

2001321300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160619792 (or 160619790 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2001321300020 its reverse (200031231002), we get a palindrome (2201352531022).

The spelling of 2001321300020 in words is "two trillion, one billion, three hundred twenty-one million, three hundred 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 160619687 321239374 642478748 803098435 1124337809 1606196870 2248675618 3212393740 4497351236 5621689045 11243378090 14295152143 22486756180 28590304286 57180608572 71475760715 100066065001 142951521430 200132130002 285903042860 400264260004 500330325005 1000660650010 2001321300020