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201112111242 = 232737346312457
BaseRepresentation
bin1011101101001100110…
…1110100100010001010
3201020002211220210022200
42323103031310202022
511243334200024432
6232220054301030
720346513511560
oct2732315644212
9636084823280
10201112111242
11783225a88a9
1232b88057776
1315c70850673
149a3ba93a30
155370deda7c
hex2ed337488a

201112111242 has 96 divisors (see below), whose sum is σ = 511639894272. Its totient is φ = 55886982912.

The previous prime is 201112111201. The next prime is 201112111271. The reversal of 201112111242 is 242111211102.

201112111242 is a `hidden beast` number, since 201 + 11 + 211 + 1 + 242 = 666.

201112111242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16138278 + ... + 16150734.

It is an arithmetic number, because the mean of its divisors is an integer number (5329582232).

Almost surely, 2201112111242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201112111242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255819947136).

201112111242 is an abundant number, since it is smaller than the sum of its proper divisors (310527783030).

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

201112111242 is a wasteful number, since it uses less digits than its factorization.

201112111242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15972 (or 15969 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201112111242 its reverse (242111211102), we get a palindrome (443223322344).

The spelling of 201112111242 in words is "two hundred one billion, one hundred twelve million, one hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 3463 4662 6926 10389 12457 20778 24241 24914 31167 37371 48482 62334 72723 74742 87199 112113 128131 145446 174398 218169 224226 256262 261597 384393 436338 460909 523194 768786 784791 896917 921818 1153179 1382727 1569582 1793834 2306358 2690751 2765454 3226363 4148181 5381502 6452726 8072253 8296362 9679089 16144506 19358178 29037267 43138591 58074534 86277182 129415773 258831546 301970137 388247319 603940274 776494638 905910411 1596127867 1811820822 2717731233 3192255734 4788383601 5435462466 9576767202 11172895069 14365150803 22345790138 28730301606 33518685207 67037370414 100556055621 201112111242