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214221213331 = 17234391248019
BaseRepresentation
bin1100011110000010010…
…1000100111010010011
3202110221110000011201021
43013200211010322103
512002211112311311
6242224544020311
721322413161236
oct3074045047223
9673843004637
10214221213331
118293a321274
1235626301697
131727c701ac8
14a522add41d
15588bc02171
hex31e0944e93

214221213331 has 16 divisors (see below), whose sum is σ = 237223641600. Its totient is φ = 192414423168.

The previous prime is 214221213307. The next prime is 214221213343. The reversal of 214221213331 is 133312122412.

It is a cyclic number.

It is not a de Polignac number, because 214221213331 - 25 = 214221213299 is a prime.

It is a super-2 number, since 2×2142212133312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214221213296 and 214221213305.

It is not an unprimeable number, because it can be changed into a prime (214221213301) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 452361 + ... + 795658.

It is an arithmetic number, because the mean of its divisors is an integer number (14826477600).

Almost surely, 2214221213331 is an apocalyptic number.

214221213331 is a deficient number, since it is larger than the sum of its proper divisors (23002428269).

214221213331 is a wasteful number, since it uses less digits than its factorization.

214221213331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248498.

The product of its digits is 1728, while the sum is 25.

Adding to 214221213331 its reverse (133312122412), we get a palindrome (347533335743).

The spelling of 214221213331 in words is "two hundred fourteen billion, two hundred twenty-one million, two hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 17 23 391 439 7463 10097 171649 1248019 21216323 28704437 487975429 547880341 9313965797 12601247843 214221213331