Search a number
-
+
133302141203330 = 251123215263150089
BaseRepresentation
bin11110010011110011010010…
…110001100011001110000010
3122110222120010102020222202002
4132103303102301203032002
5114433010241122001310
61151302054104024002
740035522216624431
oct3623632261431602
9573876112228662
10133302141203330
1139524136590a30
1212b4aa21462002
13594c4516c9cb8
1424cbc0272b118
151062764451da5
hex793cd2c63382

133302141203330 has 96 divisors (see below), whose sum is σ = 273652233684480. Its totient is φ = 46362615453440.

The previous prime is 133302141203321. The next prime is 133302141203339. The reversal of 133302141203330 is 33302141203331.

It is an interprime number because it is at equal distance from previous prime (133302141203321) and next prime (133302141203339).

It is a junction number, because it is equal to n+sod(n) for n = 133302141203293 and 133302141203302.

It is not an unprimeable number, because it can be changed into a prime (133302141203339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888078926 + ... + 888229014.

It is an arithmetic number, because the mean of its divisors is an integer number (2850544100880).

Almost surely, 2133302141203330 is an apocalyptic number.

133302141203330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133302141203330 is an abundant number, since it is smaller than the sum of its proper divisors (140350092481150).

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

133302141203330 is a wasteful number, since it uses less digits than its factorization.

133302141203330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165416 (or 165393 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 133302141203330 its reverse (33302141203331), we get a palindrome (166604282406661).

Subtracting from 133302141203330 its reverse (33302141203331), we obtain a palindrome (99999999999999).

The spelling of 133302141203330 in words is "one hundred thirty-three trillion, three hundred two billion, one hundred forty-one million, two hundred three thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 23 46 55 110 115 230 253 506 529 1058 1265 2530 2645 5290 5819 11638 15263 29095 30526 58190 76315 150089 152630 167893 300178 335786 351049 702098 750445 839465 1500890 1650979 1678930 1755245 3301958 3452047 3510490 3861539 6904094 7723078 8074127 8254895 16148254 16509790 17260235 19307695 34520470 37972517 38615390 40370635 75945034 79397081 80741270 88815397 158794162 177630794 189862585 379725170 396985405 444076985 793970810 873367891 888153970 1746735782 2290808407 4366839455 4581616814 8733678910 11454042035 22908084070 25198892477 50397784954 52688593361 105377186722 125994462385 251988924770 263442966805 526885933610 579574526971 1159149053942 1211837647303 2423675294606 2897872634855 5795745269710 6059188236515 12118376473030 13330214120333 26660428240666 66651070601665 133302141203330