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213341112 = 233237531511
BaseRepresentation
bin11001011011101…
…01001110111000
3112212102211222200
430231311032320
5414103403422
633100350200
75200240515
oct1455651670
9485384880
10213341112
11aa475376
125b545360
133527885a
142049630c
1513ae22ac
hexcb753b8

213341112 has 96 divisors (see below), whose sum is σ = 605011680. Its totient is φ = 67841280.

The previous prime is 213341111. The next prime is 213341147. The reversal of 213341112 is 211143312.

213341112 is a `hidden beast` number, since 213 + 341 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213341111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140437 + ... + 141947.

It is an arithmetic number, because the mean of its divisors is an integer number (6302205).

Almost surely, 2213341112 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 213341112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302505840).

213341112 is an abundant number, since it is smaller than the sum of its proper divisors (391670568).

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

213341112 is a wasteful number, since it uses less digits than its factorization.

213341112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1606 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 213341112 is about 14606.2011488272. The cubic root of 213341112 is about 597.5278951514.

Adding to 213341112 its reverse (211143312), we get a palindrome (424484424).

The spelling of 213341112 in words is "two hundred thirteen million, three hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 53 72 74 106 111 148 159 212 222 296 318 333 424 444 477 636 666 888 954 1272 1332 1511 1908 1961 2664 3022 3816 3922 4533 5883 6044 7844 9066 11766 12088 13599 15688 17649 18132 23532 27198 35298 36264 47064 54396 55907 70596 80083 108792 111814 141192 160166 167721 223628 240249 320332 335442 447256 480498 503163 640664 670884 720747 960996 1006326 1341768 1441494 1921992 2012652 2882988 2963071 4025304 5765976 5926142 8889213 11852284 17778426 23704568 26667639 35556852 53335278 71113704 106670556 213341112