Search a number
-
+
13341122210020 = 22511232636585417
BaseRepresentation
bin1100001000100011100011…
…0110011010100011100100
31202020101202202010021021011
43002020320312122203210
53222040104241210040
644212454341232004
72544602305503133
oct302107066324344
952211682107234
1013341122210020
114283a3575a030
1215b5722a02604
1375a0a71c5577
143419dc7b591a
151820770ee3ea
hexc2238d9a8e4

13341122210020 has 48 divisors (see below), whose sum is σ = 31892137216128. Its totient is φ = 4640390332160.

The previous prime is 13341122209999. The next prime is 13341122210041. The reversal of 13341122210020 is 2001222114331.

It is an interprime number because it is at equal distance from previous prime (13341122209999) and next prime (13341122210041).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13341122209973 and 13341122210000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1318287649 + ... + 1318297768.

It is an arithmetic number, because the mean of its divisors is an integer number (664419525336).

Almost surely, 213341122210020 is an apocalyptic number.

13341122210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13341122210020 is an abundant number, since it is smaller than the sum of its proper divisors (18551015006108).

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

13341122210020 is a wasteful number, since it uses less digits than its factorization.

13341122210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636585460 (or 2636585458 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13341122210020 its reverse (2001222114331), we get a palindrome (15342344324351).

The spelling of 13341122210020 in words is "thirteen trillion, three hundred forty-one billion, one hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 2636585417 5273170834 10546341668 13182927085 26365854170 29002439587 52731708340 58004879174 60641464591 116009758348 121282929182 145012197935 242565858364 290024395870 303207322955 580048791740 606414645910 667056110501 1212829291820 1334112221002 2668224442004 3335280552505 6670561105010 13341122210020