Search a number
-
+
32121321312989 is a prime number
BaseRepresentation
bin1110100110110110100111…
…11100100101001011011101
311012201202202002222212121202
413103123103330211023131
513202233431224003424
6152152155321005245
76523455200135156
oct723332374451335
9135652662885552
1032121321312989
11a264637530a67
1237293b1623825
1314c004884888c
147d097485092d
153aa838c5c2ae
hex1d36d3f252dd

32121321312989 has 2 divisors, whose sum is σ = 32121321312990. Its totient is φ = 32121321312988.

The previous prime is 32121321312923. The next prime is 32121321313021. The reversal of 32121321312989 is 98921312312123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31953186871225 + 168134441764 = 5652715^2 + 410042^2 .

It is a cyclic number.

It is not a de Polignac number, because 32121321312989 - 28 = 32121321312733 is a prime.

It is a super-3 number, since 3×321213213129893 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32121321312889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16060660656494 + 16060660656495.

It is an arithmetic number, because the mean of its divisors is an integer number (16060660656495).

Almost surely, 232121321312989 is an apocalyptic number.

It is an amenable number.

32121321312989 is a deficient number, since it is larger than the sum of its proper divisors (1).

32121321312989 is an equidigital number, since it uses as much as digits as its factorization.

32121321312989 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 279936, while the sum is 47.

The spelling of 32121321312989 in words is "thirty-two trillion, one hundred twenty-one billion, three hundred twenty-one million, three hundred twelve thousand, nine hundred eighty-nine".