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213120221231 = 19281235116979
BaseRepresentation
bin1100011001111011110…
…1001000000000101111
3202101002201021222111002
43012132331020000233
511442432234034411
6241523413550515
721253213663601
oct3063675100057
9671081258432
10213120221231
1182424899645
123537964543b
13171355946a8
14a45a7c3171
15582522233b
hex319ef4802f

213120221231 has 16 divisors (see below), whose sum is σ = 225244454400. Its totient is φ = 201087432000.

The previous prime is 213120221221. The next prime is 213120221233. The reversal of 213120221231 is 132122021312.

213120221231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213120221231 is a prime.

It is a super-2 number, since 2×2131202212312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120221233) 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, 12543500 + ... + 12560478.

It is an arithmetic number, because the mean of its divisors is an integer number (14077778400).

Almost surely, 2213120221231 is an apocalyptic number.

213120221231 is a deficient number, since it is larger than the sum of its proper divisors (12124233169).

213120221231 is a wasteful number, since it uses less digits than its factorization.

213120221231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19630.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 213120221231 its reverse (132122021312), we get a palindrome (345242242543).

The spelling of 213120221231 in words is "two hundred thirteen billion, one hundred twenty million, two hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 19 281 2351 5339 16979 44669 322601 660631 4771099 12551989 39917629 90650881 758434951 11216853749 213120221231