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101313133302003 = 37216271789236783
BaseRepresentation
bin10111000010010011001101…
…010100100101000011110011
3111021201102220110021211221120
4113002103031110211003303
5101234403244111131003
6555250335542353323
730224426614064100
oct2702231524450363
9437642813254846
10101313133302003
112a310727580567
12b4431b742b843
13446ba311157ac
141b03820705aa7
15baa5c16c8853
hex5c24cd5250f3

101313133302003 has 48 divisors (see below), whose sum is σ = 157323873738240. Its totient is φ = 57825051246144.

The previous prime is 101313133301927. The next prime is 101313133302077. The reversal of 101313133302003 is 300203331313101.

It is not a de Polignac number, because 101313133302003 - 213 = 101313133293811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101313133302103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427754950 + ... + 427991732.

It is an arithmetic number, because the mean of its divisors is an integer number (3277580702880).

Almost surely, 2101313133302003 is an apocalyptic number.

101313133302003 is a deficient number, since it is larger than the sum of its proper divisors (56010740436237).

101313133302003 is a wasteful number, since it uses less digits than its factorization.

101313133302003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240216 (or 240209 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 101313133302003 its reverse (300203331313101), we get a palindrome (401516464615104).

The spelling of 101313133302003 in words is "one hundred one trillion, three hundred thirteen billion, one hundred thirty-three million, three hundred two thousand, three".

Divisors: 1 3 7 21 49 147 1627 1789 4881 5367 11389 12523 34167 37569 79723 87661 236783 239169 262983 710349 1657481 2910703 4972443 8732109 11602367 20374921 34807101 61124763 142624447 385245941 423604787 427873341 1155737823 1270814361 2696721587 2965233509 8090164761 8895700527 18877051109 20756634563 56631153327 62269903689 689204988449 2067614965347 4824434919143 14473304757429 33771044434001 101313133302003