Search a number
-
+
212121032223 = 3432201374699
BaseRepresentation
bin1100010110001101100…
…1100001011000011111
3202021112002010220211210
43011203121201120133
511433410441012343
6241240321515503
721216362011242
oct3054331413037
9667462126753
10212121032223
1181a6187a101
123513aaa2b93
131700657c6a9
14a3a3c07259
1557b7651333
hex316366161f

212121032223 has 16 divisors (see below), whose sum is σ = 289422460800. Its totient is φ = 138117199584.

The previous prime is 212121032219. The next prime is 212121032327. The reversal of 212121032223 is 322230121212.

212121032223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212121032223 - 22 = 212121032219 is a prime.

It is a super-3 number, since 3×2121210322233 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 212121032223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121032213) 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 15 ways as a sum of consecutive naturals, for example, 2802328 + ... + 2877026.

It is an arithmetic number, because the mean of its divisors is an integer number (18088903800).

Almost surely, 2212121032223 is an apocalyptic number.

212121032223 is a deficient number, since it is larger than the sum of its proper divisors (77301428577).

212121032223 is a wasteful number, since it uses less digits than its factorization.

212121032223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96758.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212121032223 its reverse (322230121212), we get a palindrome (534351153435).

The spelling of 212121032223 in words is "two hundred twelve billion, one hundred twenty-one million, thirty-two thousand, two hundred twenty-three".

Divisors: 1 3 43 129 22013 66039 74699 224097 946559 2839677 3212057 9636171 1644349087 4933047261 70707010741 212121032223