Search a number
-
+
21113144131112 = 2311221811099309
BaseRepresentation
bin1001100110011110010010…
…11101001011111000101000
32202202101201022112022120022
410303033021131023320220
510231404204344143422
6112523124452020012
74306242252021245
oct463171135137050
982671638468508
1021113144131112
116800041497300
12244ba51301608
13ba1c65286487
1452dc4b28c5cc
15269304759342
hex1333c974be28

21113144131112 has 24 divisors (see below), whose sum is σ = 43513143123450. Its totient is φ = 9596883695520.

The previous prime is 21113144131067. The next prime is 21113144131117.

21113144131112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 12949015128676 + 8164129002436 = 3598474^2 + 2857294^2 .

It is a super-2 number, since 2×211131441311122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21113144131117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10905548687 + ... + 10905550622.

Almost surely, 221113144131112 is an apocalyptic number.

21113144131112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21113144131112 is an abundant number, since it is smaller than the sum of its proper divisors (22399998992338).

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

21113144131112 is a wasteful number, since it uses less digits than its factorization.

21113144131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21811099337 (or 21811099322 counting only the distinct ones).

The product of its digits is 576, while the sum is 26.

It can be divided in two parts, 2111314 and 4131112, that added together give a palindrome (6242426).

The spelling of 21113144131112 in words is "twenty-one trillion, one hundred thirteen billion, one hundred forty-four million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 21811099309 43622198618 87244397236 174488794472 239922092399 479844184798 959688369596 1919376739192 2639143016389 5278286032778 10556572065556 21113144131112