Search a number
-
+
113052212 = 22721323413
BaseRepresentation
bin1101011110100…
…00101000110100
321212201122110222
412233100220310
5212420132322
615115033512
72541633200
oct657205064
9255648428
10113052212
11588a6889
1231a3b898
131a563700
141102bb00
159dd1e42
hex6bd0a34

113052212 has 54 divisors (see below), whose sum is σ = 249280038. Its totient is φ = 44710848.

The previous prime is 113052169. The next prime is 113052217. The reversal of 113052212 is 212250311.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8317456 + 104734756 = 2884^2 + 10234^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113052217) 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 in 17 ways as a sum of consecutive naturals, for example, 31418 + ... + 34830.

It is an arithmetic number, because the mean of its divisors is an integer number (4616297).

Almost surely, 2113052212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113052212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124640019).

113052212 is an abundant number, since it is smaller than the sum of its proper divisors (136227826).

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

113052212 is a wasteful number, since it uses less digits than its factorization.

113052212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 113052212 is about 10632.6013750164. The cubic root of 113052212 is about 483.5332624597.

The spelling of 113052212 in words is "one hundred thirteen million, fifty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 3413 4732 6826 8281 13652 16562 23891 33124 44369 47782 88738 95564 167237 177476 310583 334474 576797 621166 668948 1153594 1242332 2174081 2307188 4037579 4348162 8075158 8696324 16150316 28263053 56526106 113052212