Search a number
-
+
202221011201020 = 22571784966811429
BaseRepresentation
bin101101111110101100111111…
…100010011110101111111100
3222112000010202222001012022021
4231332230333202132233330
5203001142112331413040
61554031014451325524
760410662113115450
oct5576547742365774
9875003688035267
10202221011201020
11594854a3a28679
121a81b9535b08a4
1388ab489b79636
1437d1798ca2660
15185a374e0224a
hexb7eb3f89ebfc

202221011201020 has 48 divisors (see below), whose sum is σ = 513879275528640. Its totient is φ = 65254511176704.

The previous prime is 202221011200993. The next prime is 202221011201029. The reversal of 202221011201020 is 20102110122202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202221011200985 and 202221011201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221011201029) 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, 42483403335 + ... + 42483408094.

It is an arithmetic number, because the mean of its divisors is an integer number (10705818240180).

Almost surely, 2202221011201020 is an apocalyptic number.

202221011201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221011201020 is an abundant number, since it is smaller than the sum of its proper divisors (311658264327620).

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

202221011201020 is a wasteful number, since it uses less digits than its factorization.

202221011201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84966811462 (or 84966811460 counting only the distinct ones).

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

Adding to 202221011201020 its reverse (20102110122202), we get a palindrome (222323121323222).

The spelling of 202221011201020 in words is "two hundred two trillion, two hundred twenty-one billion, eleven million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 84966811429 169933622858 339867245716 424834057145 594767680003 849668114290 1189535360006 1444435794293 1699336228580 2379070720012 2888871588586 2973838400015 5777743177172 5947676800030 7222178971465 10111050560051 11895353600060 14444357942930 20222101120102 28888715885860 40444202240204 50555252800255 101110505600510 202221011201020