Search a number
-
+
20122213113112 = 2311479774979671
BaseRepresentation
bin1001001001101000100010…
…10111010101110100011000
32122020122221121222220121111
410210310101113111310120
510114140243024104422
6110444003405150104
74144532125240045
oct444642127256430
978218847886544
1020122213113112
116458867798860
12230b9a055b334
13b2c693b41296
144d7cc54961cc
1524d659298a77
hex124d115d5d18

20122213113112 has 64 divisors (see below), whose sum is σ = 42077830026240. Its totient is φ = 8942690572800.

The previous prime is 20122213113073. The next prime is 20122213113127. The reversal of 20122213113112 is 21131131222102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1551037 + ... + 6530707.

It is an arithmetic number, because the mean of its divisors is an integer number (657466094160).

Almost surely, 220122213113112 is an apocalyptic number.

20122213113112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122213113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21038915013120).

20122213113112 is an abundant number, since it is smaller than the sum of its proper divisors (21955616913128).

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

20122213113112 is a wasteful number, since it uses less digits than its factorization.

20122213113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980712 (or 4980708 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 20122213113112 its reverse (21131131222102), we get a palindrome (41253344335214).

The spelling of 20122213113112 in words is "twenty trillion, one hundred twenty-two billion, two hundred thirteen million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 977 1034 1954 2068 3908 4136 7816 10747 21494 42988 45919 85976 91838 183676 367352 505109 1010218 2020436 4040872 4979671 9959342 19918684 39837368 54776381 109552762 219105524 234044537 438211048 468089074 936178148 1872356296 2574489907 4865138567 5148979814 9730277134 10297959628 19460554268 20595919256 38921108536 53516524237 107033048474 214066096948 228661512649 428132193896 457323025298 914646050596 1829292101192 2515276639139 5030553278278 10061106556556 20122213113112