Search a number
-
+
112101220177 is a prime number
BaseRepresentation
bin110100001100111000…
…0001101111101010001
3101201100112020000120121
41220121300031331101
53314040403021202
6123255410110241
711045654435542
oct1503160157521
9351315200517
10112101220177
11435a6241a11
121988657b381
13a75692425b
1455d62aa4c9
152db1801537
hex1a19c0df51

112101220177 has 2 divisors, whose sum is σ = 112101220178. Its totient is φ = 112101220176.

The previous prime is 112101220109. The next prime is 112101220229. The reversal of 112101220177 is 771022101211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98719126416 + 13382093761 = 314196^2 + 115681^2 .

It is a cyclic number.

It is not a de Polignac number, because 112101220177 - 211 = 112101218129 is a prime.

It is a super-2 number, since 2×1121012201772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112101220477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050610088 + 56050610089.

It is an arithmetic number, because the mean of its divisors is an integer number (56050610089).

Almost surely, 2112101220177 is an apocalyptic number.

It is an amenable number.

112101220177 is a deficient number, since it is larger than the sum of its proper divisors (1).

112101220177 is an equidigital number, since it uses as much as digits as its factorization.

112101220177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 392, while the sum is 25.

Adding to 112101220177 its reverse (771022101211), we get a palindrome (883123321388).

The spelling of 112101220177 in words is "one hundred twelve billion, one hundred one million, two hundred twenty thousand, one hundred seventy-seven".