Search a number
-
+
21112022201020 = 22523116339463199
BaseRepresentation
bin1001100110011100001101…
…00101010111001010111100
32202202021211010102100210221
410303032012211113022330
510231344410140413040
6112522421253111124
74306202406540112
oct463160645271274
982667733370727
1021112022201020
1167aa616163653
12244b7996284a4
13ba1b169c7a0a
1452db82281ab2
1526928aee074a
hex1333869572bc

21112022201020 has 48 divisors (see below), whose sum is σ = 46302646118400. Its totient is φ = 8070697549376.

The previous prime is 21112022200967. The next prime is 21112022201021. The reversal of 21112022201020 is 2010222021112.

It is a happy number.

It is a super-2 number, since 2×211120222010202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21112022200985 and 21112022201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112022201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19196620 + ... + 20266579.

It is an arithmetic number, because the mean of its divisors is an integer number (964638460800).

Almost surely, 221112022201020 is an apocalyptic number.

21112022201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112022201020 is an abundant number, since it is smaller than the sum of its proper divisors (25190623917380).

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

21112022201020 is a wasteful number, since it uses less digits than its factorization.

21112022201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39464394 (or 39464392 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21112022201020 its reverse (2010222021112), we get a palindrome (23122244222132).

The spelling of 21112022201020 in words is "twenty-one trillion, one hundred twelve billion, twenty-two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 1163 2326 4652 5815 11630 23260 26749 53498 106996 133745 267490 534980 39463199 78926398 157852796 197315995 394631990 789263980 907653577 1815307154 3630614308 4538267885 9076535770 18153071540 45895700437 91791400874 183582801748 229478502185 458957004370 917914008740 1055601110051 2111202220102 4222404440204 5278005550255 10556011100510 21112022201020