Search a number
-
+
221113103112 = 2332111272198293
BaseRepresentation
bin1100110111101101011…
…1100011001100001000
3210010201202022110011100
43031323113203030020
512110314423244422
6245324501101400
721655250236326
oct3157327431410
9703652273140
10221113103112
1185856645050
1236a2a3b7860
1317b0a4b48b5
14a9b8156d16
155b41cb37ac
hex337b5e3308

221113103112 has 96 divisors (see below), whose sum is σ = 658433018880. Its totient is φ = 66476350080.

The previous prime is 221113103089. The next prime is 221113103143. The reversal of 221113103112 is 211301311122.

221113103112 is a `hidden beast` number, since 221 + 1 + 131 + 0 + 311 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998563 + ... + 1199730.

It is an arithmetic number, because the mean of its divisors is an integer number (6858677280).

Almost surely, 2221113103112 is an apocalyptic number.

221113103112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221113103112 is an abundant number, since it is smaller than the sum of its proper divisors (437319915768).

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

221113103112 is a wasteful number, since it uses less digits than its factorization.

221113103112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198443 (or 2198436 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 221113103112 its reverse (211301311122), we get a palindrome (432414414234).

The spelling of 221113103112 in words is "two hundred twenty-one billion, one hundred thirteen million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 127 132 198 254 264 381 396 508 762 792 1016 1143 1397 1524 2286 2794 3048 4191 4572 5588 8382 9144 11176 12573 16764 25146 33528 50292 100584 2198293 4396586 6594879 8793172 13189758 17586344 19784637 24181223 26379516 39569274 48362446 52759032 72543669 79138548 96724892 145087338 158277096 193449784 217631007 279183211 290174676 435262014 558366422 580349352 837549633 870524028 1116732844 1675099266 1741048056 2233465688 2512648899 3071015321 3350198532 5025297798 6142030642 6700397064 9213045963 10050595596 12284061284 18426091926 20101191192 24568122568 27639137889 36852183852 55278275778 73704367704 110556551556 221113103112