Search a number
-
+
113273273 is a prime number
BaseRepresentation
bin1101100000001…
…10100110111001
321220010212201102
412300012212321
5212444221043
615123501145
72543543531
oct660064671
9256125642
10113273273
1158a37983
1231b277b5
131a610209
14110884c1
159e276b8
hex6c069b9

113273273 has 2 divisors, whose sum is σ = 113273274. Its totient is φ = 113273272.

The previous prime is 113273263. The next prime is 113273291. The reversal of 113273273 is 372372311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68690944 + 44582329 = 8288^2 + 6677^2 .

It is an emirp because it is prime and its reverse (372372311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113273273 - 210 = 113272249 is a prime.

It is a super-3 number, since 3×1132732733 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (113273203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56636636 + 56636637.

It is an arithmetic number, because the mean of its divisors is an integer number (56636637).

Almost surely, 2113273273 is an apocalyptic number.

It is an amenable number.

113273273 is a deficient number, since it is larger than the sum of its proper divisors (1).

113273273 is an equidigital number, since it uses as much as digits as its factorization.

113273273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292, while the sum is 29.

The square root of 113273273 is about 10642.9917316514. The cubic root of 113273273 is about 483.8482223929.

The spelling of 113273273 in words is "one hundred thirteen million, two hundred seventy-three thousand, two hundred seventy-three".