Search a number
-
+
256517300253103 = 1923601976699019
BaseRepresentation
bin111010010100110100010110…
…100011110111000110101111
31020122020210222201000111120221
4322110310112203313012233
5232110234412331044403
62305322230525352211
7105013522555123261
oct7224642643670657
91218223881014527
10256517300253103
117480941566751a
122492a930a08667
13b01962943bb66
14474b709b5bb31
151e9c90c500dbd
hexe94d168f71af

256517300253103 has 16 divisors (see below), whose sum is σ = 282226948819200. Its totient is φ = 232063686676800.

The previous prime is 256517300253101. The next prime is 256517300253113. The reversal of 256517300253103 is 301352003715652.

It is a cyclic number.

It is not a de Polignac number, because 256517300253103 - 21 = 256517300253101 is a prime.

It is a super-2 number, since 2×2565173002531032 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256517300253103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256517300253101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488086873 + ... + 488612146.

It is an arithmetic number, because the mean of its divisors is an integer number (17639184301200).

Almost surely, 2256517300253103 is an apocalyptic number.

256517300253103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

256517300253103 is a deficient number, since it is larger than the sum of its proper divisors (25709648566097).

256517300253103 is a wasteful number, since it uses less digits than its factorization.

256517300253103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976699662.

The product of its (nonzero) digits is 567000, while the sum is 43.

Adding to 256517300253103 its reverse (301352003715652), we get a palindrome (557869303968755).

The spelling of 256517300253103 in words is "two hundred fifty-six trillion, five hundred seventeen billion, three hundred million, two hundred fifty-three thousand, one hundred three".

Divisors: 1 19 23 437 601 11419 13823 262637 976699019 18557281361 22464077437 426817471303 586996110419 11152926097961 13500910539637 256517300253103