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10013302341 = 327237613673
BaseRepresentation
bin10010101001101011…
…01101111001000101
3221211211210110111200
421110311231321011
5131001401133331
64333335453113
7503065444200
oct112465557105
927754713450
1010013302341
114279280289
121b35527199
13c37697193
146adc26937
153d91395e6
hex254d6de45

10013302341 has 36 divisors (see below), whose sum is σ = 17279832492. Its totient is φ = 5567232384.

The previous prime is 10013302297. The next prime is 10013302361. The reversal of 10013302341 is 14320331001.

10013302341 is a `hidden beast` number, since 10 + 0 + 13 + 302 + 341 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8926281441 + 1087020900 = 94479^2 + 32970^2 .

It is not a de Polignac number, because 10013302341 - 218 = 10013040197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013302361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290520 + ... + 323153.

It is an arithmetic number, because the mean of its divisors is an integer number (479995347).

Almost surely, 210013302341 is an apocalyptic number.

It is an amenable number.

10013302341 is a deficient number, since it is larger than the sum of its proper divisors (7266530151).

10013302341 is a wasteful number, since it uses less digits than its factorization.

10013302341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613730 (or 613720 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10013302341 its reverse (14320331001), we get a palindrome (24333633342).

The spelling of 10013302341 in words is "ten billion, thirteen million, three hundred two thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 37 49 63 111 147 259 333 441 777 1813 2331 5439 16317 613673 1841019 4295711 5523057 12887133 22705901 30069977 38661399 68117703 90209931 158941307 204353109 270629793 476823921 1112589149 1430471763 3337767447 10013302341