Search a number
-
+
222100021221100 = 2252111011999100101
BaseRepresentation
bin110010011111111110110000…
…110111101001011011101100
31002010101112222100111220022121
4302133332300313221123230
5213102341320413033400
62104211201410322324
764532124400236211
oct6237766067513354
91063345870456277
10222100021221100
116484a0a9930a70
1220ab057b8893a4
1396c0c32b36879
143cbb9ac517b08
151aa24e7e3021a
hexc9ffb0de96ec

222100021221100 has 72 divisors (see below), whose sum is σ = 530976979892016. Its totient is φ = 79964004000000.

The previous prime is 222100021221059. The next prime is 222100021221107. The reversal of 222100021221100 is 1122120001222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (222100021221107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999438951 + ... + 999661150.

It is an arithmetic number, because the mean of its divisors is an integer number (7374680276278).

Almost surely, 2222100021221100 is an apocalyptic number.

222100021221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222100021221100 is an abundant number, since it is smaller than the sum of its proper divisors (308876958670916).

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

222100021221100 is a wasteful number, since it uses less digits than its factorization.

222100021221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999100227 (or 1999100220 counting only the distinct ones).

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

Adding to 222100021221100 its reverse (1122120001222), we get a palindrome (223222141222322).

The spelling of 222100021221100 in words is "two hundred twenty-two trillion, one hundred billion, twenty-one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 1999100101 3998200202 7996400404 9995500505 19991001010 21990101111 39982002020 43980202222 49977502525 87960404444 99955005050 109950505555 199910010100 201909110201 219901011110 403818220402 439802022220 549752527775 807636440804 1009545551005 1099505055550 2019091102010 2199010111100 2221000212211 4038182204020 4442000424422 5047727755025 8884000848844 10095455510050 11105001061055 20190911020100 22210002122110 44420004244220 55525005305275 111050010610550 222100021221100