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113043216 = 243111343383
BaseRepresentation
bin1101011110011…
…10011100010000
321212201012010210
412233032130100
5212414340331
615114524120
72541565026
oct657163420
9255635123
10113043216
11588a0050
1231a36640
131a55c5a0
1411028716
159dce446
hex6bce710

113043216 has 160 divisors (see below), whose sum is σ = 351977472. Its totient is φ = 30804480.

The previous prime is 113043211. The next prime is 113043239. The reversal of 113043216 is 612340311.

It is a super-3 number, since 3×1130432163 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113043192 and 113043201.

It is not an unprimeable number, because it can be changed into a prime (113043211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294961 + ... + 295343.

Almost surely, 2113043216 is an apocalyptic number.

113043216 is a gapful number since it is divisible by the number (16) 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 113043216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175988736).

113043216 is an abundant number, since it is smaller than the sum of its proper divisors (238934256).

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

113043216 is a wasteful number, since it uses less digits than its factorization.

113043216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 113043216 is about 10632.1783280756. The cubic root of 113043216 is about 483.5204365847.

Adding to 113043216 its reverse (612340311), we get a palindrome (725383527).

The spelling of 113043216 in words is "one hundred thirteen million, forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 43 44 48 52 66 78 86 88 104 129 132 143 156 172 176 208 258 264 286 312 344 383 429 473 516 528 559 572 624 688 766 858 946 1032 1118 1144 1149 1419 1532 1677 1716 1892 2064 2236 2288 2298 2838 3064 3354 3432 3784 4213 4472 4596 4979 5676 6128 6149 6708 6864 7568 8426 8944 9192 9958 11352 12298 12639 13416 14937 16469 16852 18384 18447 19916 22704 24596 25278 26832 29874 32938 33704 36894 39832 49192 49407 50556 54769 59748 65876 67408 73788 79664 98384 98814 101112 109538 119496 131752 147576 164307 181159 197628 202224 214097 219076 238992 263504 295152 328614 362318 395256 428194 438152 543477 642291 657228 724636 790512 856388 876304 1086954 1284582 1314456 1449272 1712776 2173908 2355067 2569164 2628912 2898544 3425552 4347816 4710134 5138328 7065201 8695632 9420268 10276656 14130402 18840536 28260804 37681072 56521608 113043216