Search a number
-
+
112406700401 is a prime number
BaseRepresentation
bin110100010101111110…
…1100010000101110001
3101202010211001000122222
41220223331202011301
53320202103403101
6123350001410425
711056354121462
oct1505375420561
9352124030588
10112406700401
1143742719806
1219950939a15
13a7a4cc0598
145624aa8d69
152dcd54401b
hex1a2bf62171

112406700401 has 2 divisors, whose sum is σ = 112406700402. Its totient is φ = 112406700400.

The previous prime is 112406700397. The next prime is 112406700407. The reversal of 112406700401 is 104007604211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106759027600 + 5647672801 = 326740^2 + 75151^2 .

It is a cyclic number.

It is not a de Polignac number, because 112406700401 - 22 = 112406700397 is a prime.

It is not a weakly prime, because it can be changed into another prime (112406700407) 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, 56203350200 + 56203350201.

It is an arithmetic number, because the mean of its divisors is an integer number (56203350201).

Almost surely, 2112406700401 is an apocalyptic number.

It is an amenable number.

112406700401 is a deficient number, since it is larger than the sum of its proper divisors (1).

112406700401 is an equidigital number, since it uses as much as digits as its factorization.

112406700401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 112406700401 in words is "one hundred twelve billion, four hundred six million, seven hundred thousand, four hundred one".