Search a number
-
+
12212103101273 is a prime number
BaseRepresentation
bin1011000110110101101000…
…0100010011101101011001
31121020110120110111000222222
42301231122010103231121
53100040341343220043
641550055051353425
72400203204433035
oct261553204235531
947213513430888
1012212103101273
11398913a917139
121452954752875
136a779a33183a
143030d72791c5
151629e8bcdd68
hexb1b5a113b59

12212103101273 has 2 divisors, whose sum is σ = 12212103101274. Its totient is φ = 12212103101272.

The previous prime is 12212103101257. The next prime is 12212103101281. The reversal of 12212103101273 is 37210130121221.

12212103101273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12141789033049 + 70314068224 = 3484507^2 + 265168^2 .

It is a cyclic number.

It is not a de Polignac number, because 12212103101273 - 24 = 12212103101257 is a prime.

It is a super-2 number, since 2×122121031012732 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12212103101173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106051550636 + 6106051550637.

It is an arithmetic number, because the mean of its divisors is an integer number (6106051550637).

Almost surely, 212212103101273 is an apocalyptic number.

It is an amenable number.

12212103101273 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212103101273 is an equidigital number, since it uses as much as digits as its factorization.

12212103101273 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 12212103101273 its reverse (37210130121221), we get a palindrome (49422233222494).

The spelling of 12212103101273 in words is "twelve trillion, two hundred twelve billion, one hundred three million, one hundred one thousand, two hundred seventy-three".