Search a number
-
+
20122102221012 = 223211291752185843
BaseRepresentation
bin1001001001101000010101…
…10000010100100011010100
32122020122122220100000020200
410210310022300110203110
510114140031132033022
6110443544404300500
74144526310541341
oct444641260244324
978218586300220
1020122102221012
1164588101379a0
12230b96b3a1730
13b2c676b85b5c
144d7cb486b7c8
1524d64e691bac
hex124d0ac148d4

20122102221012 has 72 divisors (see below), whose sum is σ = 57401608249440. Its totient is φ = 5887344429120.

The previous prime is 20122102220971. The next prime is 20122102221019. The reversal of 20122102221012 is 21012220122102.

It is a happy number.

20122102221012 is a `hidden beast` number, since 201 + 221 + 0 + 22 + 210 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122102221019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876081438 + ... + 876104405.

It is an arithmetic number, because the mean of its divisors is an integer number (797244559020).

Almost surely, 220122102221012 is an apocalyptic number.

20122102221012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20122102221012 is an abundant number, since it is smaller than the sum of its proper divisors (37279506028428).

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

20122102221012 is a wasteful number, since it uses less digits than its factorization.

20122102221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752185893 (or 1752185888 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20122102221012 its reverse (21012220122102), we get a palindrome (41134322343114).

The spelling of 20122102221012 in words is "twenty trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 1752185843 3504371686 5256557529 7008743372 10513115058 15769672587 19274044273 21026230116 31539345174 38548088546 50813389447 57822132819 63078690348 77096177092 101626778894 115644265638 152440168341 173466398457 203253557788 231288531276 304880336682 346932796914 457320505023 558947283917 609760673364 693865593828 914641010046 1117894567834 1676841851751 1829282020092 2235789135668 3353683703502 5030525555253 6707367407004 10061051110506 20122102221012