Search a number
-
+
1001112211213 is a prime number
BaseRepresentation
bin11101001000101101111…
…00000000111100001101
310112201001020020121102221
432210112330000330031
5112400234211224323
62043523221015341
7132220331251222
oct16442674007415
93481036217387
101001112211213
11356629820714
12142032554551
137353483369a
1436650043949
151b09421055d
hexe916f00f0d

1001112211213 has 2 divisors, whose sum is σ = 1001112211214. Its totient is φ = 1001112211212.

The previous prime is 1001112211159. The next prime is 1001112211243. The reversal of 1001112211213 is 3121122111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 986211858724 + 14900352489 = 993082^2 + 122067^2 .

It is an emirp because it is prime and its reverse (3121122111001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001112211213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001112211243) 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 as a sum of consecutive naturals, namely, 500556105606 + 500556105607.

It is an arithmetic number, because the mean of its divisors is an integer number (500556105607).

Almost surely, 21001112211213 is an apocalyptic number.

It is an amenable number.

1001112211213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001112211213 is an equidigital number, since it uses as much as digits as its factorization.

1001112211213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1001112211213 its reverse (3121122111001), we get a palindrome (4122234322214).

The spelling of 1001112211213 in words is "one trillion, one billion, one hundred twelve million, two hundred eleven thousand, two hundred thirteen".