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221021001132210 = 232511292175189461
BaseRepresentation
bin110010010000010001110110…
…010000101010100010110010
31001222120101211120212001011200
4302100101312100222202302
5212432202002242212320
62102023351325152030
764361145306640236
oct6220216620524262
91058511746761150
10221021001132210
1164473531151794
12209574260bb616
13964326375b6a6
143c8168b5345c6
151a843e425e290
hexc9047642a8b2

221021001132210 has 48 divisors (see below), whose sum is σ = 575163597542040. Its totient is φ = 58886729061120.

The previous prime is 221021001132199. The next prime is 221021001132311. The reversal of 221021001132210 is 12231100120122.

221021001132210 is a `hidden beast` number, since 2 + 210 + 210 + 0 + 1 + 1 + 32 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 180493555474521 + 40527445657689 = 13434789^2 + 6366117^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1087493121 + ... + 1087696340.

Almost surely, 2221021001132210 is an apocalyptic number.

221021001132210 is an abundant number, since it is smaller than the sum of its proper divisors (354142596409830).

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

221021001132210 is a wasteful number, since it uses less digits than its factorization.

221021001132210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175190603 (or 2175190600 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221021001132210 its reverse (12231100120122), we get a palindrome (233252101252332).

The spelling of 221021001132210 in words is "two hundred twenty-one trillion, twenty-one billion, one million, one hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1129 2258 3387 5645 6774 10161 11290 16935 20322 33870 50805 101610 2175189461 4350378922 6525568383 10875947305 13051136766 19576705149 21751894610 32627841915 39153410298 65255683830 97883525745 195767051490 2455788901469 4911577802938 7367366704407 12278944507345 14734733408814 22102100113221 24557889014690 36836833522035 44204200226442 73673667044070 110510500566105 221021001132210