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13302311110032 = 2437193139204983
BaseRepresentation
bin1100000110010010111110…
…0001110100010110010000
31202002200120221012002222110
43001210233201310112100
53220421113121010112
644142555232505320
72542026445550130
oct301445741642620
952080527162873
1013302311110032
11426952991618a
1215aa0b10ab240
1375653054c049
1433db9a088ac0
15181054bae13c
hexc192f874590

13302311110032 has 80 divisors (see below), whose sum is σ = 39273884881920. Its totient is φ = 3800622097536.

The previous prime is 13302311110021. The next prime is 13302311110037. The reversal of 13302311110032 is 23001111320331.

It is a happy number.

It is a super-2 number, since 2×133023111100322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13302311109990 and 13302311110008.

It is not an unprimeable number, because it can be changed into a prime (13302311110037) by changing a digit.

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, 64792213 + ... + 64997195.

It is an arithmetic number, because the mean of its divisors is an integer number (490923561024).

Almost surely, 213302311110032 is an apocalyptic number.

13302311110032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13302311110032 is an abundant number, since it is smaller than the sum of its proper divisors (25971573771888).

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

13302311110032 is a wasteful number, since it uses less digits than its factorization.

13302311110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398140 (or 398134 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13302311110032 its reverse (23001111320331), we get a palindrome (36303422430363).

The spelling of 13302311110032 in words is "thirteen trillion, three hundred two billion, three hundred eleven million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 193139 204983 386278 409966 579417 614949 772556 819932 1158834 1229898 1351973 1434881 1545112 1639864 2317668 2459796 2703946 2869762 3090224 3279728 4055919 4304643 4635336 4919592 5407892 5739524 8111838 8609286 9270672 9839184 10815784 11479048 16223676 17218572 21631568 22958096 32447352 34437144 64894704 68874288 39590211637 79180423274 118770634911 158360846548 237541269822 277131481459 316721693096 475082539644 554262962918 633443386192 831394444377 950165079288 1108525925836 1662788888754 1900330158576 2217051851672 3325577777508 4434103703344 6651155555016 13302311110032