Search a number
-
+
1220110211012 = 22721123103238883
BaseRepresentation
bin10001110000010100001…
…111000101011111000100
311022122022120121200022112
4101300110033011133010
5124442241203223022
62332302204120152
7154102316450600
oct21602417053704
94278276550275
101220110211012
1143049a4512a0
12178570536058
138b095a6ca54
14430a72dc500
1521b104768e2
hex11c143c57c4

1220110211012 has 144 divisors (see below), whose sum is σ = 2854866373632. Its totient is φ = 450283014720.

The previous prime is 1220110210987. The next prime is 1220110211039. The reversal of 1220110211012 is 2101120110221.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 4988123 + ... + 5227005.

It is an arithmetic number, because the mean of its divisors is an integer number (19825460928).

Almost surely, 21220110211012 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 1220110211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427433186816).

1220110211012 is an abundant number, since it is smaller than the sum of its proper divisors (1634756162620).

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

1220110211012 is a wasteful number, since it uses less digits than its factorization.

1220110211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239038 (or 239029 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1220110211012 its reverse (2101120110221), we get a palindrome (3321230321233).

The spelling of 1220110211012 in words is "one trillion, two hundred twenty billion, one hundred ten million, two hundred eleven thousand, twelve".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 49 77 92 98 103 154 161 196 206 253 308 322 412 506 539 644 721 1012 1078 1127 1133 1442 1771 2156 2254 2266 2369 2884 3542 4508 4532 4738 5047 7084 7931 9476 10094 12397 15862 16583 20188 24794 26059 31724 33166 49588 52118 55517 66332 104236 111034 116081 182413 222068 232162 238883 364826 464324 477766 729652 955532 1276891 1672181 2553782 2627713 3344362 5107564 5255426 5494309 6688724 10510852 10988618 11705267 18393991 21977236 23410534 24604949 36787982 38460163 46821068 49209898 60437399 73575964 76920326 98419796 120874798 128757937 153840652 172234643 241749596 257515874 269221141 270654439 344469286 423061793 515031748 538442282 541308878 565913827 688938572 846123586 1076884564 1082617756 1131827654 1205642501 1692247172 1894581073 2263655308 2411285002 2961432551 3789162146 3961396789 4822570004 5922865102 6225052097 7578324292 7922793578 11845730204 12450104194 13262067511 15845587156 24900208388 26524135022 27729777523 43575364679 53048270044 55459555046 87150729358 110919110092 174301458716 305027552753 610055105506 1220110211012