Search a number
-
+
202212021100 = 22522022120211
BaseRepresentation
bin1011110001010011000…
…1101001001101101100
3201022221111120222222211
42330110301221031230
511303112234133400
6232521145220204
720416000551055
oct2742461511554
9638844528884
10202212021100
1178837461411
1233234491664
13160b769c2bb
149b03bab72c
1553d7767dba
hex2f14c6936c

202212021100 has 18 divisors (see below), whose sum is σ = 438800086004. Its totient is φ = 80884808400.

The previous prime is 202212021097. The next prime is 202212021103. The reversal of 202212021100 is 1120212202.

It is a happy number.

202212021100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202212021097) and next prime (202212021103).

It is not an unprimeable number, because it can be changed into a prime (202212021103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1011060006 + ... + 1011060205.

Almost surely, 2202212021100 is an apocalyptic number.

202212021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202212021100 is an abundant number, since it is smaller than the sum of its proper divisors (236588064904).

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

202212021100 is a wasteful number, since it uses less digits than its factorization.

202212021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022120225 (or 2022120218 counting only the distinct ones).

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

Adding to 202212021100 its reverse (1120212202), we get a palindrome (203332233302).

The spelling of 202212021100 in words is "two hundred two billion, two hundred twelve million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2022120211 4044240422 8088480844 10110601055 20221202110 40442404220 50553005275 101106010550 202212021100