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113721636 = 22371797821
BaseRepresentation
bin1101100011101…
…00000100100100
321220222122202110
412301310010210
5213103043021
615141241020
72550421650
oct661640444
9256878673
10113721636
1159213826
1232103170
131a739312
1411163a60
159eb5476
hex6c74124

113721636 has 96 divisors (see below), whose sum is σ = 324801792. Its totient is φ = 30228480.

The previous prime is 113721617. The next prime is 113721679. The reversal of 113721636 is 636127311.

It is a super-2 number, since 2×1137216362 = 25865220989032992, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138106 + ... + 138926.

It is an arithmetic number, because the mean of its divisors is an integer number (3383352).

Almost surely, 2113721636 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 113721636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162400896).

113721636 is an abundant number, since it is smaller than the sum of its proper divisors (211080156).

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

113721636 is a wasteful number, since it uses less digits than its factorization.

113721636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 113721636 is about 10664.0346961176. The cubic root of 113721636 is about 484.4857780121.

Adding to 113721636 its reverse (636127311), we get a palindrome (749848947).

The spelling of 113721636 in words is "one hundred thirteen million, seven hundred twenty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 97 102 119 194 204 238 291 357 388 476 582 679 714 821 1164 1358 1428 1642 1649 2037 2463 2716 3284 3298 4074 4926 4947 5747 6596 8148 9852 9894 11494 11543 13957 17241 19788 22988 23086 27914 34482 34629 41871 46172 55828 68964 69258 79637 83742 97699 138516 159274 167484 195398 238911 293097 318548 390796 477822 557459 586194 955644 1114918 1172388 1353829 1672377 2229836 2707658 3344754 4061487 5415316 6689508 8122974 9476803 16245948 18953606 28430409 37907212 56860818 113721636