Search a number
-
+
2011224000020 = 2252323918293833
BaseRepresentation
bin11101010001000110010…
…010101100011000010100
321010021022122210010110112
4131101012102230120110
5230422441321000040
64135535450142152
7265210001634134
oct35210622543024
97107278703415
102011224000020
11705a56574164
12285956a21958
131178719c9cc1
146d4b53ccac4
15374b3567365
hex1d4464ac614

2011224000020 has 48 divisors (see below), whose sum is σ = 4425644321280. Its totient is φ = 766292034816.

The previous prime is 2011223999971. The next prime is 2011224000031. The reversal of 2011224000020 is 200004221102.

It is a junction number, because it is equal to n+sod(n) for n = 2011223999959 and 2011224000004.

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, 9036977 + ... + 9256856.

It is an arithmetic number, because the mean of its divisors is an integer number (92200923360).

Almost surely, 22011224000020 is an apocalyptic number.

2011224000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011224000020 is an abundant number, since it is smaller than the sum of its proper divisors (2414420321260).

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

2011224000020 is a wasteful number, since it uses less digits than its factorization.

2011224000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18294104 (or 18294102 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2011224000020 its reverse (200004221102), we get a palindrome (2211228221122).

The spelling of 2011224000020 in words is "two trillion, eleven billion, two hundred twenty-four million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 46 92 115 230 239 460 478 956 1195 2390 4780 5497 10994 21988 27485 54970 109940 18293833 36587666 73175332 91469165 182938330 365876660 420758159 841516318 1683032636 2103790795 4207581590 4372226087 8415163180 8744452174 17488904348 21861130435 43722260870 87444521740 100561200001 201122400002 402244800004 502806000005 1005612000010 2011224000020