Search a number
-
+
32120213202013 is a prime number
BaseRepresentation
bin1110100110110100100011…
…11001011110010001011101
311012201122212212220000010111
413103122101321132101131
513202224144034431023
6152151453334210021
76523415553301006
oct723322171362135
9135648785800114
1032120213202013
11a264118a86872
1237291424b3911
1314bcc000b8101
147d08ab6001ad
153aa7c182300d
hex1d3691e5e45d

32120213202013 has 2 divisors, whose sum is σ = 32120213202014. Its totient is φ = 32120213202012.

The previous prime is 32120213201977. The next prime is 32120213202073. The reversal of 32120213202013 is 31020231202123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22311622296324 + 9808590905689 = 4723518^2 + 3131867^2 .

It is an emirp because it is prime and its reverse (31020231202123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32120213202013 - 29 = 32120213201501 is a prime.

It is a super-2 number, since 2×321202132020132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32120213202073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16060106601006 + 16060106601007.

It is an arithmetic number, because the mean of its divisors is an integer number (16060106601007).

Almost surely, 232120213202013 is an apocalyptic number.

It is an amenable number.

32120213202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

32120213202013 is an equidigital number, since it uses as much as digits as its factorization.

32120213202013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 32120213202013 its reverse (31020231202123), we get a palindrome (63140444404136).

The spelling of 32120213202013 in words is "thirty-two trillion, one hundred twenty billion, two hundred thirteen million, two hundred two thousand, thirteen".