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112120331201 is a prime number
BaseRepresentation
bin110100001101011100…
…1000111101111000001
3101201101212011221222022
41220122321013233001
53314110301044301
6123301331451225
711046306043034
oct1503271075701
9351355157868
10112120331201
114360600534a
1219890a56b15
13a75a885b58
1455d8a4301b
152db3328d1b
hex1a1ae47bc1

112120331201 has 2 divisors, whose sum is σ = 112120331202. Its totient is φ = 112120331200.

The previous prime is 112120331179. The next prime is 112120331233. The reversal of 112120331201 is 102133021211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99638079025 + 12482252176 = 315655^2 + 111724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112120331201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112120331201.

It is not a weakly prime, because it can be changed into another prime (112120333201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060165600 + 56060165601.

It is an arithmetic number, because the mean of its divisors is an integer number (56060165601).

Almost surely, 2112120331201 is an apocalyptic number.

It is an amenable number.

112120331201 is a deficient number, since it is larger than the sum of its proper divisors (1).

112120331201 is an equidigital number, since it uses as much as digits as its factorization.

112120331201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 112120331201 its reverse (102133021211), we get a palindrome (214253352412).

The spelling of 112120331201 in words is "one hundred twelve billion, one hundred twenty million, three hundred thirty-one thousand, two hundred one".