Search a number
-
+
221102121211110 = 23256919029393761
BaseRepresentation
bin110010010001011101011001…
…011001001101010011100110
31001222212011012222121000120100
4302101131121121031103212
5212440014121012223420
62102124525014044530
764400046452143056
oct6221353131152346
91058764188530510
10221102121211110
11644a4979337707
122096b0a5049746
13964aac0954489
143c85584d57566
151a86590c2d190
hexc9175964d4e6

221102121211110 has 96 divisors (see below), whose sum is σ = 575762671018080. Its totient is φ = 58868569036800.

The previous prime is 221102121211087. The next prime is 221102121211129. The reversal of 221102121211110 is 11112121201122.

It is a happy number.

221102121211110 is a `hidden beast` number, since 22 + 110 + 212 + 1 + 211 + 110 = 666.

221102121211110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211021212111102 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561316630 + ... + 561710390.

It is an arithmetic number, because the mean of its divisors is an integer number (5997527823105).

Almost surely, 2221102121211110 is an apocalyptic number.

221102121211110 is an abundant number, since it is smaller than the sum of its proper divisors (354660549806970).

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

221102121211110 is a wasteful number, since it uses less digits than its factorization.

221102121211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403494 (or 403491 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221102121211110 its reverse (11112121201122), we get a palindrome (232214242412232).

The spelling of 221102121211110 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 691 1382 2073 3455 4146 6219 6910 9029 10365 12438 18058 20730 27087 31095 45145 54174 62190 81261 90290 135435 162522 270870 393761 406305 787522 812610 1181283 1968805 2362566 3543849 3937610 5906415 6239039 7087698 11812830 12478078 17719245 18717117 31195195 35438490 37434234 56151351 62390390 93585585 112302702 187171170 272088851 280756755 544177702 561513510 816266553 1360444255 1632533106 2448799659 2720888510 3555268069 4081332765 4897599318 7110536138 8162665530 10665804207 12243998295 17776340345 21331608414 24487996590 31997412621 35552680690 53329021035 63994825242 106658042070 159987063105 319974126210 2456690235679 4913380471358 7370070707037 12283451178395 14740141414074 22110212121111 24566902356790 36850353535185 44220424242222 73700707070370 110551060605555 221102121211110