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1313422003100 = 22522916317316061
BaseRepresentation
bin10011000111001110000…
…011010100101110011100
311122120011122012212010002
4103013032003110232130
5133004342013044400
62443213331433432
7163614551551634
oct23071603245634
94576148185102
101313422003100
11467023530839
12192672455878
1396b16a427cc
14477d9da56c4
1524272434ed5
hex131ce0d4b9c

1313422003100 has 144 divisors (see below), whose sum is σ = 2983827460320. Its totient is φ = 501195340800.

The previous prime is 1313422003087. The next prime is 1313422003147. The reversal of 1313422003100 is 13002243131.

It is a super-2 number, since 2×13134220031002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81769070 + ... + 81785130.

It is an arithmetic number, because the mean of its divisors is an integer number (20721024030).

Almost surely, 21313422003100 is an apocalyptic number.

1313422003100 is a gapful number since it is divisible by the number (10) 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 1313422003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491913730160).

1313422003100 is an abundant number, since it is smaller than the sum of its proper divisors (1670405457220).

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

1313422003100 is a wasteful number, since it uses less digits than its factorization.

1313422003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16440 (or 16433 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1313422003100 its reverse (13002243131), we get a palindrome (1326424246231).

The spelling of 1313422003100 in words is "one trillion, three hundred thirteen billion, four hundred twenty-two million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 163 173 290 326 346 580 652 692 725 815 865 1450 1630 1730 2900 3260 3460 4075 4325 4727 5017 8150 8650 9454 10034 16061 16300 17300 18908 20068 23635 25085 28199 32122 47270 50170 56398 64244 80305 94540 100340 112796 118175 125425 140995 160610 236350 250850 281990 321220 401525 465769 472700 501700 563980 704975 803050 817771 931538 1409950 1606100 1635542 1863076 2328845 2617943 2778553 2819900 3271084 4088855 4657690 5235886 5557106 8177710 9315380 10471772 11114212 11644225 13089715 13892765 16355420 20444275 23288450 26179430 27785530 40888550 46576900 52358860 55571060 65448575 69463825 75920347 80578037 81777100 130897150 138927650 151840694 161156074 261794300 277855300 303681388 322312148 379601735 402890185 452904139 759203470 805780370 905808278 1518406940 1611560740 1811616556 1898008675 2014450925 2264520695 3796017350 4028901850 4529041390 7592034700 8057803700 9058082780 11322603475 13134220031 22645206950 26268440062 45290413900 52536880124 65671100155 131342200310 262684400620 328355500775 656711001550 1313422003100