Search a number
-
+
113332212 = 223271672693
BaseRepresentation
bin1101100000101…
…00111111110100
321220020212120100
412300110333310
5213003112322
615125034100
72544210420
oct660247764
9256225510
10113332212
1158a78194
1231b55930
131a630ca6
14110a1b80
159e39dac
hex6c14ff4

113332212 has 72 divisors (see below), whose sum is σ = 329486976. Its totient is φ = 32174784.

The previous prime is 113332211. The next prime is 113332229. The reversal of 113332212 is 212233311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113332211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40738 + ... + 43430.

It is an arithmetic number, because the mean of its divisors is an integer number (4576208).

Almost surely, 2113332212 is an apocalyptic number.

113332212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113332212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164743488).

113332212 is an abundant number, since it is smaller than the sum of its proper divisors (216154764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113332212 is a wasteful number, since it uses less digits than its factorization.

113332212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2872 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 113332212 is about 10645.7602828544. The cubic root of 113332212 is about 483.9321274039.

Adding to 113332212 its reverse (212233311), we get a palindrome (325565523).

The spelling of 113332212 in words is "one hundred thirteen million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 167 252 334 501 668 1002 1169 1503 2004 2338 2693 3006 3507 4676 5386 6012 7014 8079 10521 10772 14028 16158 18851 21042 24237 32316 37702 42084 48474 56553 75404 96948 113106 169659 226212 339318 449731 678636 899462 1349193 1798924 2698386 3148117 4047579 5396772 6296234 8095158 9444351 12592468 16190316 18888702 28333053 37777404 56666106 113332212