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213112103321 = 13971131495597
BaseRepresentation
bin1100011001111001111…
…0001010000110011001
3202101002011000112210202
43012132132022012121
511442423144301241
6241522523551545
721253054663325
oct3063636120631
9671064015722
10213112103321
1182420254527
123537698b5b5
13171339b16b0
14a4596ac985
15582466bd9b
hex319e78a199

213112103321 has 16 divisors (see below), whose sum is σ = 233923491984. Its totient is φ = 192967778304.

The previous prime is 213112103297. The next prime is 213112103333. The reversal of 213112103321 is 123301211312.

It is a happy number.

213112103321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 80408542096 + 132703561225 = 283564^2 + 364285^2 .

It is a cyclic number.

It is not a de Polignac number, because 213112103321 - 210 = 213112102297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213112103293 and 213112103302.

It is not an unprimeable number, because it can be changed into a prime (213112103381) 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, 605306 + ... + 890291.

It is an arithmetic number, because the mean of its divisors is an integer number (14620218249).

Almost surely, 2213112103321 is an apocalyptic number.

It is an amenable number.

213112103321 is a deficient number, since it is larger than the sum of its proper divisors (20811388663).

213112103321 is a wasteful number, since it uses less digits than its factorization.

213112103321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495820.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 213112103321 its reverse (123301211312), we get a palindrome (336413314633).

The spelling of 213112103321 in words is "two hundred thirteen billion, one hundred twelve million, one hundred three thousand, three hundred twenty-one".

Divisors: 1 13 97 113 1261 1469 10961 142493 1495597 19442761 145072909 169002461 1885947817 2197031993 16393238717 213112103321