Search a number
-
+
13301221133032 = 237432947135649
BaseRepresentation
bin1100000110001110111010…
…0011111000101011101000
31202002120202222012112121221
43001203232203320223220
53220411400102224112
644142255134511424
72541660442110460
oct301435643705350
952076688175557
1013301221133032
11426901a627348
1215a9a48065574
137563b879a541
1433dad53d8ba0
15180ede157e07
hexc18ee8f8ae8

13301221133032 has 96 divisors (see below), whose sum is σ = 29211912792000. Its totient is φ = 5562032458752.

The previous prime is 13301221133029. The next prime is 13301221133033. The reversal of 13301221133032 is 23033112210331.

13301221133032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13301221132988 and 13301221133006.

It is not an unprimeable number, because it can be changed into a prime (13301221133033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97988344 + ... + 98123992.

It is an arithmetic number, because the mean of its divisors is an integer number (304290758250).

Almost surely, 213301221133032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13301221133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605956396000).

13301221133032 is an abundant number, since it is smaller than the sum of its proper divisors (15910691658968).

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

13301221133032 is a wasteful number, since it uses less digits than its factorization.

13301221133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136695 (or 136648 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13301221133032 its reverse (23033112210331), we get a palindrome (36334333343363).

The spelling of 13301221133032 in words is "thirteen trillion, three hundred one billion, two hundred twenty-one million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 947 1204 1849 1894 2408 3698 3788 6629 7396 7576 12943 13258 14792 25886 26516 40721 51772 53032 81442 103544 135649 162884 271298 285047 325768 542596 570094 949543 1085192 1140188 1751003 1899086 2280376 3502006 3798172 5832907 7004012 7596344 11665814 12257021 14008024 23331628 24514042 40830349 46663256 49028084 81660698 98056168 128459603 163321396 250815001 256919206 326642792 501630002 513838412 899217221 1003260004 1027676824 1755705007 1798434442 2006520008 3511410014 3596868884 5523762929 7022820028 7193737768 11047525858 14045640056 22095051716 38666340503 44190103432 77332681006 154665362012 237521805947 309330724024 475043611894 950087223788 1662652641629 1900174447576 3325305283258 6650610566516 13301221133032