Search a number
-
+
113032216 = 231119671009
BaseRepresentation
bin1101011110010…
…11110000011000
321212200122001101
412233023300120
5212414012331
615114401144
72541520663
oct657136030
9255618041
10113032216
1158892860
1231a301b4
131a55758b
14110246da
159dcb061
hex6bcbc18

113032216 has 64 divisors (see below), whose sum is σ = 247248000. Its totient is φ = 47900160.

The previous prime is 113032193. The next prime is 113032217. The reversal of 113032216 is 612230311.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 113032193 and 113032202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113032217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111520 + ... + 112528.

It is an arithmetic number, because the mean of its divisors is an integer number (3863250).

Almost surely, 2113032216 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 113032216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123624000).

113032216 is an abundant number, since it is smaller than the sum of its proper divisors (134215784).

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

113032216 is a wasteful number, since it uses less digits than its factorization.

113032216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 113032216 is about 10631.6610179219. The cubic root of 113032216 is about 483.5047526203.

Adding to 113032216 its reverse (612230311), we get a palindrome (725262527).

The spelling of 113032216 in words is "one hundred thirteen million, thirty-two thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 19 22 38 44 67 76 88 134 152 209 268 418 536 737 836 1009 1273 1474 1672 2018 2546 2948 4036 5092 5896 8072 10184 11099 14003 19171 22198 28006 38342 44396 56012 67603 76684 88792 112024 135206 153368 210881 270412 421762 540824 743633 843524 1284457 1487266 1687048 2568914 2974532 5137828 5949064 10275656 14129027 28258054 56516108 113032216