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13010342301 = 32111737208931
BaseRepresentation
bin11000001110111101…
…00001000110011101
31020120201020212102200
430013132201012131
5203121121423201
65551000442113
7640260041055
oct140736410635
936521225380
1013010342301
115576aa9810
122631179339
1312c45832c8
148b5c9c565
155122e6386
hex3077a119d

13010342301 has 48 divisors (see below), whose sum is σ = 22293880128. Its totient is φ = 7220620800.

The previous prime is 13010342299. The next prime is 13010342327. The reversal of 13010342301 is 10324301031.

13010342301 is a `hidden beast` number, since 13 + 0 + 10 + 342 + 301 = 666.

13010342301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13010342301 - 21 = 13010342299 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 (13010342341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42195 + ... + 166736.

It is an arithmetic number, because the mean of its divisors is an integer number (464455836).

Almost surely, 213010342301 is an apocalyptic number.

13010342301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13010342301 is a deficient number, since it is larger than the sum of its proper divisors (9283537827).

13010342301 is a wasteful number, since it uses less digits than its factorization.

13010342301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209002 (or 208999 counting only the distinct ones).

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

Adding to 13010342301 its reverse (10324301031), we get a palindrome (23334643332).

The spelling of 13010342301 in words is "thirteen billion, ten million, three hundred forty-two thousand, three hundred one".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 333 407 561 629 1221 1683 1887 3663 5661 6919 20757 62271 208931 626793 1880379 2298241 3551827 6894723 7730447 10655481 20684169 23191341 31966443 39070097 69574023 85034917 117210291 131417599 255104751 351630873 394252797 765314253 1182758391 1445593589 4336780767 13010342301