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112117236817 is a prime number
BaseRepresentation
bin110100001101010110…
…1010100010001010001
3101201101122100202021111
41220122231110101101
53314104003034232
6123301141253321
711046240534355
oct1503255242121
9351348322244
10112117236817
1143604291503
121988ba04241
13a75a041561
1455d8479465
152db2e17047
hex1a1ab54451

112117236817 has 2 divisors, whose sum is σ = 112117236818. Its totient is φ = 112117236816.

The previous prime is 112117236761. The next prime is 112117236823. The reversal of 112117236817 is 718632711211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65061215041 + 47056021776 = 255071^2 + 216924^2 .

It is an emirp because it is prime and its reverse (718632711211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112117236817 - 223 = 112108848209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112117236817.

It is not a weakly prime, because it can be changed into another prime (112117236887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56058618408 + 56058618409.

It is an arithmetic number, because the mean of its divisors is an integer number (56058618409).

Almost surely, 2112117236817 is an apocalyptic number.

It is an amenable number.

112117236817 is a deficient number, since it is larger than the sum of its proper divisors (1).

112117236817 is an equidigital number, since it uses as much as digits as its factorization.

112117236817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 28224, while the sum is 40.

The spelling of 112117236817 in words is "one hundred twelve billion, one hundred seventeen million, two hundred thirty-six thousand, eight hundred seventeen".