Search a number
-
+
12210200993 is a prime number
BaseRepresentation
bin10110101111100100…
…01110000110100001
31011111221122110220102
423113302032012201
5200001302412433
65335334552145
7611402665424
oct132762160641
934457573812
1012210200993
1151a6381801
122449208655
1311c7881003
1483b8d79bb
154b6e424e8
hex2d7c8e1a1

12210200993 has 2 divisors, whose sum is σ = 12210200994. Its totient is φ = 12210200992.

The previous prime is 12210200987. The next prime is 12210201001. The reversal of 12210200993 is 39900201221.

12210200993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12028166929 + 182034064 = 109673^2 + 13492^2 .

It is an emirp because it is prime and its reverse (39900201221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12210200993 is a prime.

It is not a weakly prime, because it can be changed into another prime (12210200903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105100496 + 6105100497.

It is an arithmetic number, because the mean of its divisors is an integer number (6105100497).

Almost surely, 212210200993 is an apocalyptic number.

It is an amenable number.

12210200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210200993 is an equidigital number, since it uses as much as digits as its factorization.

12210200993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 12210200993 in words is "twelve billion, two hundred ten million, two hundred thousand, nine hundred ninety-three".