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112121020181 is a prime number
BaseRepresentation
bin110100001101011101…
…1101111111100010101
3101201101220110222002002
41220122323233330111
53314110440121211
6123301354325045
711046314642522
oct1503273577425
9351356428062
10112121020181
1143606435a55
1219891129785
13a75aa67631
1455d8b82149
152db341303b
hex1a1aeeff15

112121020181 has 2 divisors, whose sum is σ = 112121020182. Its totient is φ = 112121020180.

The previous prime is 112121020163. The next prime is 112121020223. The reversal of 112121020181 is 181020121211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105928117156 + 6192903025 = 325466^2 + 78695^2 .

It is an emirp because it is prime and its reverse (181020121211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112121020181 - 226 = 112053911317 is a prime.

It is a super-2 number, since 2×1121210201812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112121023181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060510090 + 56060510091.

It is an arithmetic number, because the mean of its divisors is an integer number (56060510091).

Almost surely, 2112121020181 is an apocalyptic number.

It is an amenable number.

112121020181 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121020181 is an equidigital number, since it uses as much as digits as its factorization.

112121020181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 112121020181 its reverse (181020121211), we get a palindrome (293141141392).

The spelling of 112121020181 in words is "one hundred twelve billion, one hundred twenty-one million, twenty thousand, one hundred eighty-one".