Search a number
-
+
112422000177233 is a prime number
BaseRepresentation
bin11001100011111101001001…
…011000101011000001010001
3112202001102211111011210122222
4121203331021120223001101
5104213410224021132413
61035033542013110425
732452135652403215
oct3143751130530121
9482042744153588
10112422000177233
11329039a22a012a
1210738178488415
134a964700586c6
141da937a77c945
15cee54a74eb08
hex663f4962b051

112422000177233 has 2 divisors, whose sum is σ = 112422000177234. Its totient is φ = 112422000177232.

The previous prime is 112422000177173. The next prime is 112422000177323. The reversal of 112422000177233 is 332771000224211.

Together with next prime (112422000177323) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111248131940929 + 1173868236304 = 10547423^2 + 1083452^2 .

It is an emirp because it is prime and its reverse (332771000224211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112422000177233 - 28 = 112422000176977 is a prime.

It is a super-3 number, since 3×1124220001772333 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 112422000177193 and 112422000177202.

It is not a weakly prime, because it can be changed into another prime (112422000177733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56211000088616 + 56211000088617.

It is an arithmetic number, because the mean of its divisors is an integer number (56211000088617).

Almost surely, 2112422000177233 is an apocalyptic number.

It is an amenable number.

112422000177233 is a deficient number, since it is larger than the sum of its proper divisors (1).

112422000177233 is an equidigital number, since it uses as much as digits as its factorization.

112422000177233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 112422000177233 in words is "one hundred twelve trillion, four hundred twenty-two billion, one hundred seventy-seven thousand, two hundred thirty-three".