Search a number
-
+
256106301 = 31121971523
BaseRepresentation
bin11110100001111…
…01111100111101
3122211220112210120
433100331330331
51011030400201
641225125153
76226603413
oct1720757475
9584815716
10256106301
11121624500
12719297b9
134109cbb9
14260292b3
151773d536
hexf43df3d

256106301 has 48 divisors (see below), whose sum is σ = 401425920. Its totient is φ = 144698400.

The previous prime is 256106299. The next prime is 256106329. The reversal of 256106301 is 103601652.

It is not a de Polignac number, because 256106301 - 21 = 256106299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256106351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489426 + ... + 489948.

It is an arithmetic number, because the mean of its divisors is an integer number (8363040).

Almost surely, 2256106301 is an apocalyptic number.

It is an amenable number.

256106301 is a deficient number, since it is larger than the sum of its proper divisors (145319619).

256106301 is a wasteful number, since it uses less digits than its factorization.

256106301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 256106301 is about 16003.3215614759. The cubic root of 256106301 is about 635.0482952501.

Adding to 256106301 its reverse (103601652), we get a palindrome (359707953).

The spelling of 256106301 in words is "two hundred fifty-six million, one hundred six thousand, three hundred one".

Divisors: 1 3 11 19 33 57 71 121 209 213 363 523 627 781 1349 1569 2299 2343 4047 5753 6897 8591 9937 14839 17259 25773 29811 37133 44517 63283 109307 111399 163229 189849 327921 408463 489687 705527 1202377 1225389 2116581 3607131 4493093 7760797 13479279 23282391 85368767 256106301