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21422322322412 = 221119101911278497
BaseRepresentation
bin1001101111011110001011…
…11010011000101111101100
32210211221202110211202211112
410313233011322120233230
510301440404003304122
6113321140133411152
74340466055211054
oct467570572305754
983757673752745
1021422322322412
11690a179521570
12249b958499ab8
13bc5168754bbb
14540bbb34c564
1527239ca922e2
hex137bc5e98bec

21422322322412 has 96 divisors (see below), whose sum is σ = 43523756559360. Its totient is φ = 9123528960000.

The previous prime is 21422322322409. The next prime is 21422322322421.

21422322322412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×214223223224122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76781948 + ... + 77060444.

It is an arithmetic number, because the mean of its divisors is an integer number (453372464160).

Almost surely, 221422322322412 is an apocalyptic number.

21422322322412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21422322322412 is an abundant number, since it is smaller than the sum of its proper divisors (22101434236948).

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

21422322322412 is a wasteful number, since it uses less digits than its factorization.

21422322322412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279543 (or 279541 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 2142232 and 2322412, that added together give a palindrome (4464644).

The spelling of 21422322322412 in words is "twenty-one trillion, four hundred twenty-two billion, three hundred twenty-two million, three hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 4 11 19 22 38 44 76 101 202 209 404 418 836 911 1111 1822 1919 2222 3644 3838 4444 7676 10021 17309 20042 21109 34618 40084 42218 69236 84436 92011 184022 190399 278497 368044 380798 556994 761596 1012121 1113988 1748209 2024242 3063467 3496418 4048484 5291443 6126934 6992836 10582886 12253868 19230299 21165772 28128197 38460598 56256394 58205873 76921196 112512788 116411746 232823492 253710767 309410167 507421534 534435743 618820334 1014843068 1068871486 1237640668 2137742972 2790818437 4820504573 5581636874 5878793173 9641009146 11163273748 11757586346 19282018292 23515172692 25624787467 51249574934 53025550303 102499149868 106051100606 212102201212 281872662137 486870961873 563745324274 973741923746 1127490648548 1947483847492 5355580580603 10711161161206 21422322322412