Search a number
-
+
13121222212081 is a prime number
BaseRepresentation
bin1011111011110000010111…
…0010011111100111110001
31201110101011112110221120001
42332330011302133213301
53204434230341241311
643523450053150001
72522656055403334
oct276740562374761
951411145427501
1013121222212081
1141a9751961945
12157ab9292b301
137424311431a9
143350db80061b
1517b4a6ab44c1
hexbef05c9f9f1

13121222212081 has 2 divisors, whose sum is σ = 13121222212082. Its totient is φ = 13121222212080.

The previous prime is 13121222212069. The next prime is 13121222212103. The reversal of 13121222212081 is 18021222212131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11770011255025 + 1351210957056 = 3430745^2 + 1162416^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13121222212081 is a prime.

It is a super-2 number, since 2×131212222120812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13121222212981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560611106040 + 6560611106041.

It is an arithmetic number, because the mean of its divisors is an integer number (6560611106041).

Almost surely, 213121222212081 is an apocalyptic number.

It is an amenable number.

13121222212081 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121222212081 is an equidigital number, since it uses as much as digits as its factorization.

13121222212081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 28.

The spelling of 13121222212081 in words is "thirteen trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, eighty-one".