Search a number
-
+
20121021112122 = 2327924117280667
BaseRepresentation
bin1001001001100110010100…
…10100001101111100111010
32122020112212120000222122200
410210303022110031330322
510114130322401041442
6110443245224331030
74144460442345360
oct444631224157472
978215776028580
1020121021112122
116458305955877
12230b709313a76
13b2c533bba958
144d7c11049630
1524d5d97dd34c
hex124cca50df3a

20121021112122 has 48 divisors (see below), whose sum is σ = 49828875300672. Its totient is φ = 5748240738240.

The previous prime is 20121021112103. The next prime is 20121021112123. The reversal of 20121021112122 is 22121112012102.

20121021112122 is a `hidden beast` number, since 201 + 210 + 21 + 112 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20121021112095 and 20121021112104.

It is not an unprimeable number, because it can be changed into a prime (20121021112123) 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, 7475968 + ... + 9804699.

It is an arithmetic number, because the mean of its divisors is an integer number (1038101568764).

Almost surely, 220121021112122 is an apocalyptic number.

20121021112122 is an abundant number, since it is smaller than the sum of its proper divisors (29707854188550).

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

20121021112122 is a wasteful number, since it uses less digits than its factorization.

20121021112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17289923 (or 17289920 counting only the distinct ones).

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

Adding to 20121021112122 its reverse (22121112012102), we get a palindrome (42242133124224).

The spelling of 20121021112122 in words is "twenty trillion, one hundred twenty-one billion, twenty-one million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 9241 18482 27723 55446 64687 83169 129374 166338 194061 388122 582183 1164366 17280667 34561334 51842001 103684002 120964669 155526003 241929338 311052006 362894007 725788014 1088682021 2177364042 159690643747 319381287494 479071931241 958143862482 1117834506229 1437215793723 2235669012458 2874431587446 3353503518687 6707007037374 10060510556061 20121021112122