Search a number
-
+
21240422404212 = 22311891808003269
BaseRepresentation
bin1001101010001011010111…
…10101010001000001110100
32210012120020120001111210010
410311011223311101001310
510241000341113413322
6113101414303100220
74321366316341614
oct465055365210164
983176216044703
1021240422404212
11684a01578a760
1224706525a1670
13bb0c6a3080cb
145360830aaa44
1526c7a369520c
hex13516bd51074

21240422404212 has 48 divisors (see below), whose sum is σ = 54674018884800. Its totient is φ = 6364171503360.

The previous prime is 21240422404211. The next prime is 21240422404249.

21240422404212 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 21240422404212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21240422404211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903989887 + ... + 904013382.

It is an arithmetic number, because the mean of its divisors is an integer number (1139042060100).

Almost surely, 221240422404212 is an apocalyptic number.

21240422404212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21240422404212 is an abundant number, since it is smaller than the sum of its proper divisors (33433596480588).

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

21240422404212 is a wasteful number, since it uses less digits than its factorization.

21240422404212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808003376 (or 1808003374 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 2124042 and 2404212, that added together give a palindrome (4528254).

The spelling of 21240422404212 in words is "twenty-one trillion, two hundred forty billion, four hundred twenty-two million, four hundred four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 356 534 979 1068 1958 2937 3916 5874 11748 1808003269 3616006538 5424009807 7232013076 10848019614 19888035959 21696039228 39776071918 59664107877 79552143836 119328215754 160912290941 238656431508 321824581882 482736872823 643649163764 965473745646 1770035200351 1930947491292 3540070400702 5310105601053 7080140801404 10620211202106 21240422404212