Search a number
-
+
202112001220 = 22518097558413
BaseRepresentation
bin1011110000111011010…
…0000110010011000100
3201022200112101110111211
42330032310012103010
511302411133014340
6232503213341204
720413344443653
oct2741664062304
9638615343454
10202112001220
1178795a56a58
1233206a97804
131609ca4c73c
149ad47b319a
1553cdaac5ea
hex2f0ed064c4

202112001220 has 24 divisors (see below), whose sum is σ = 424459416024. Its totient is φ = 80840188416.

The previous prime is 202112001151. The next prime is 202112001241. The reversal of 202112001220 is 22100211202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6265039104 + 195846962116 = 79152^2 + 442546^2 .

It is a super-2 number, since 2×2021120012202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202112001220.

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 7 ways as a sum of consecutive naturals, for example, 82734 + ... + 641146.

It is an arithmetic number, because the mean of its divisors is an integer number (17685809001).

Almost surely, 2202112001220 is an apocalyptic number.

202112001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112001220 is an abundant number, since it is smaller than the sum of its proper divisors (222347414804).

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

202112001220 is a wasteful number, since it uses less digits than its factorization.

202112001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576519 (or 576517 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202112001220 its reverse (22100211202), we get a palindrome (224212212422).

The spelling of 202112001220 in words is "two hundred two billion, one hundred twelve million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 18097 36194 72388 90485 180970 361940 558413 1116826 2233652 2792065 5584130 11168260 10105600061 20211200122 40422400244 50528000305 101056000610 202112001220