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240021322220130 = 235114492039979411
BaseRepresentation
bin110110100100110001010001…
…101001100100001001100010
31011110211210222122002002011120
4312210301101221210021202
5222430002131442021010
62210252135002553110
7101361653055302403
oct6644612151441142
91143753878062146
10240021322220130
116a529520060a50
1222b058a7208796
13a3c0bb5149039
14433b145c4b9aa
151cb378ab55e70
hexda4c51a64262

240021322220130 has 128 divisors (see below), whose sum is σ = 629857866240000. Its totient is φ = 58053817651200.

The previous prime is 240021322220123. The next prime is 240021322220143. The reversal of 240021322220130 is 31022223120042.

It is a super-2 number, since 2×2400213222201302 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240021322220130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3022480125 + ... + 3022559535.

It is an arithmetic number, because the mean of its divisors is an integer number (4920764580000).

Almost surely, 2240021322220130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240021322220130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314928933120000).

240021322220130 is an abundant number, since it is smaller than the sum of its proper divisors (389836544019870).

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

240021322220130 is a wasteful number, since it uses less digits than its factorization.

240021322220130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100280.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 240021322220130 its reverse (31022223120042), we get a palindrome (271043545340172).

It can be divided in two parts, 24002132 and 2220130, that added together give a palindrome (26222262).

The spelling of 240021322220130 in words is "two hundred forty trillion, twenty-one billion, three hundred twenty-two million, two hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 449 898 1347 2245 2694 4490 4939 6735 9878 13470 14817 20399 24695 29634 40798 49390 61197 74085 79411 101995 122394 148170 158822 203990 224389 238233 305985 397055 448778 476466 611970 673167 794110 873521 1121945 1191165 1346334 1747042 2243890 2382330 2620563 3365835 4367605 5241126 6731670 8735210 9159151 13102815 18318302 26205630 27477453 35655539 45795755 54954906 71311078 91591510 100750661 106966617 137387265 178277695 201501322 213933234 274774530 302251983 356555390 392210929 503753305 534833085 604503966 784421858 1007506610 1069666170 1176632787 1511259915 1619904989 1961054645 2353265574 3022519830 3239809978 3922109290 4859714967 5883163935 8099524945 9719429934 11766327870 16199049890 17818954879 24298574835 35637909758 48597149670 53456864637 89094774395 106913729274 178189548790 267284323185 534568646370 727337340061 1454674680122 2182012020183 3636686700305 4364024040366 7273373400610 8000710740671 10910060100915 16001421481342 21820120201830 24002132222013 40003553703355 48004264444026 80007107406710 120010661110065 240021322220130