Search a number
-
+
10024012242013 = 711483972689877
BaseRepresentation
bin1001000111011110010110…
…1100000101110001011101
31022111021201122111112102011
42101313211230011301131
52303213134113221023
633152545002431221
72053132240132630
oct221674554056135
938437648445364
1010024012242013
113215183648930
12115a879502511
1357934cb4ca53
14269244233c17
15125b3305150d
hex91de5b05c5d

10024012242013 has 16 divisors (see below), whose sum is σ = 12497732682624. Its totient is φ = 7810754333760.

The previous prime is 10024012241993. The next prime is 10024012242077. The reversal of 10024012242013 is 31024221042001.

It is not a de Polignac number, because 10024012242013 - 217 = 10024012110941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024012242913) 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 15 ways as a sum of consecutive naturals, for example, 2381631 + ... + 5071507.

It is an arithmetic number, because the mean of its divisors is an integer number (781108292664).

Almost surely, 210024012242013 is an apocalyptic number.

It is an amenable number.

10024012242013 is a deficient number, since it is larger than the sum of its proper divisors (2473720440611).

10024012242013 is a wasteful number, since it uses less digits than its factorization.

10024012242013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738292.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10024012242013 its reverse (31024221042001), we get a palindrome (41048233284014).

The spelling of 10024012242013 in words is "ten trillion, twenty-four billion, twelve million, two hundred forty-two thousand, thirteen".

Divisors: 1 7 11 77 48397 338779 532367 2689877 3726569 18829139 29588647 207120529 130181977169 911273840183 1432001748859 10024012242013