Search a number
-
+
113144221305 = 335838105343
BaseRepresentation
bin110100101011111101…
…0111100111001111001
3101211001012210222011000
41221113322330321321
53323204410040210
6123551105155213
711113551004263
oct1512772747171
9354035728130
10113144221305
1143a90a66115
1219b1792bb09
13a891a38c9b
145694a0cb33
152e23178ac0
hex1a57ebce79

113144221305 has 16 divisors (see below), whose sum is σ = 201145282560. Its totient is φ = 60343584624.

The previous prime is 113144221297. The next prime is 113144221313. The reversal of 113144221305 is 503122441311.

113144221305 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 442 + 213 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (113144221297) and next prime (113144221313).

It is not a de Polignac number, because 113144221305 - 23 = 113144221297 is a prime.

It is a super-2 number, since 2×1131442213052 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419052537 + ... + 419052806.

It is an arithmetic number, because the mean of its divisors is an integer number (12571580160).

Almost surely, 2113144221305 is an apocalyptic number.

113144221305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113144221305 is a deficient number, since it is larger than the sum of its proper divisors (88001061255).

113144221305 is an equidigital number, since it uses as much as digits as its factorization.

113144221305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838105357 (or 838105351 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 113144221305 its reverse (503122441311), we get a palindrome (616266662616).

The spelling of 113144221305 in words is "one hundred thirteen billion, one hundred forty-four million, two hundred twenty-one thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 135 838105343 2514316029 4190526715 7542948087 12571580145 22628844261 37714740435 113144221305