Search a number
-
+
113821032 = 23313894099
BaseRepresentation
bin1101100100011…
…00010101101000
321221011201002210
412302030111220
5213114233112
615143325120
72551314513
oct662142550
9257151083
10113821032
1159281476
12321507a0
131a772630
141118bd7a
159ed4b3c
hex6c8c568

113821032 has 64 divisors (see below), whose sum is σ = 309960000. Its totient is φ = 34619904.

The previous prime is 113821009. The next prime is 113821033. The reversal of 113821032 is 230128311.

It is not an unprimeable number, because it can be changed into a prime (113821033) 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, 25719 + ... + 29817.

It is an arithmetic number, because the mean of its divisors is an integer number (4843125).

Almost surely, 2113821032 is an apocalyptic number.

113821032 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 113821032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154980000).

113821032 is an abundant number, since it is smaller than the sum of its proper divisors (196138968).

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

113821032 is a wasteful number, since it uses less digits than its factorization.

113821032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 113821032 is about 10668.6940156703. The cubic root of 113821032 is about 484.6268884375.

Adding to 113821032 its reverse (230128311), we get a palindrome (343949343).

The spelling of 113821032 in words is "one hundred thirteen million, eight hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 89 104 156 178 267 312 356 534 712 1068 1157 2136 2314 3471 4099 4628 6942 8198 9256 12297 13884 16396 24594 27768 32792 49188 53287 98376 106574 159861 213148 319722 364811 426296 639444 729622 1094433 1278888 1459244 2188866 2918488 4377732 4742543 8755464 9485086 14227629 18970172 28455258 37940344 56910516 113821032