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113224421241 = 3417372222309
BaseRepresentation
bin110100101110010110…
…0111000111101111001
3101211020210201112210000
41221130230320331321
53323340422434431
6124003052143213
711115543462321
oct1513454707571
9354223645700
10113224421241
1144022263558
1219b3a767b09
13a8a5539379
1456a1528281
152e2a21b9e6
hex1a5cb38f79

113224421241 has 40 divisors (see below), whose sum is σ = 183927264840. Its totient is φ = 69122668032.

The previous prime is 113224421239. The next prime is 113224421267. The reversal of 113224421241 is 142124422311.

113224421241 is a `hidden beast` number, since 1 + 13 + 224 + 421 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92537640000 + 20686781241 = 304200^2 + 143829^2 .

It is not a de Polignac number, because 113224421241 - 21 = 113224421239 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (113224423241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1060206 + ... + 1162103.

It is an arithmetic number, because the mean of its divisors is an integer number (4598181621).

Almost surely, 2113224421241 is an apocalyptic number.

It is an amenable number.

113224421241 is a deficient number, since it is larger than the sum of its proper divisors (70702843599).

113224421241 is a wasteful number, since it uses less digits than its factorization.

113224421241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222375 (or 2222366 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 113224421241 its reverse (142124422311), we get a palindrome (255348843552).

The spelling of 113224421241 in words is "one hundred thirteen billion, two hundred twenty-four million, four hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 3 9 17 27 37 51 81 111 153 333 459 629 999 1377 1887 2997 5661 16983 50949 2222309 6666927 20000781 37779253 60002343 82225433 113337759 180007029 246676299 340013277 740028897 1020039831 1397832361 2220086691 3060119493 4193497083 6660260073 12580491249 37741473747 113224421241