Search a number
-
+
2210102000020 = 2258310113182047
BaseRepresentation
bin100000001010010100010…
…110000011100110010100
321211021122210211022022101
4200022110112003212110
5242202242103000040
64411150140011444
7315450250016125
oct40122426034624
97737583738271
102210102000020
11782331a64132
122b83ba830b84
13130547734945
1478d8048604c
153c75325c09a
hex20294583994

2210102000020 has 48 divisors (see below), whose sum is σ = 4743639065088. Its totient is φ = 864742217600.

The previous prime is 2210102000011. The next prime is 2210102000059. The reversal of 2210102000020 is 200002010122.

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 = 2210101999970 and 2210102000006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6423364 + ... + 6758683.

It is an arithmetic number, because the mean of its divisors is an integer number (98825813856).

Almost surely, 22210102000020 is an apocalyptic number.

2210102000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210102000020 is an abundant number, since it is smaller than the sum of its proper divisors (2533537065068).

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

2210102000020 is a wasteful number, since it uses less digits than its factorization.

2210102000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13182240 (or 13182238 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2210102000020 its reverse (200002010122), we get a palindrome (2410104010142).

The spelling of 2210102000020 in words is "two trillion, two hundred ten billion, one hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 83 101 166 202 332 404 415 505 830 1010 1660 2020 8383 16766 33532 41915 83830 167660 13182047 26364094 52728188 65910235 131820470 263640940 1094109901 1331386747 2188219802 2662773494 4376439604 5325546988 5470549505 6656933735 10941099010 13313867470 21882198020 26627734940 110505100001 221010200002 442020400004 552525500005 1105051000010 2210102000020