Search a number
-
+
868211148101 = 112341536125889
BaseRepresentation
bin11001010001001010110…
…10101100010101000101
310002000000010110002101012
430220211122230111011
5103211044023214401
61502503430012005
7116504036665013
oct14504532542505
93060003402335
10868211148101
1130522a616970
121203221a7005
1363b4490827b
14300435678b3
15178b684c8bb
hexca256ac545

868211148101 has 64 divisors (see below), whose sum is σ = 1048477893120. Its totient is φ = 710780928000.

The previous prime is 868211148047. The next prime is 868211148149. The reversal of 868211148101 is 101841112868.

It is not a de Polignac number, because 868211148101 - 222 = 868206953797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868211147101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33522965 + ... + 33548853.

It is an arithmetic number, because the mean of its divisors is an integer number (16382467080).

Almost surely, 2868211148101 is an apocalyptic number.

It is an amenable number.

868211148101 is a deficient number, since it is larger than the sum of its proper divisors (180266745019).

868211148101 is a wasteful number, since it uses less digits than its factorization.

868211148101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26078.

The product of its (nonzero) digits is 24576, while the sum is 41.

The spelling of 868211148101 in words is "eight hundred sixty-eight billion, two hundred eleven million, one hundred forty-eight thousand, one hundred one".

Divisors: 1 11 23 41 53 61 253 451 583 671 943 1219 1403 2173 2501 3233 10373 13409 15433 23903 25889 27511 35563 49979 57523 74359 132553 284779 549769 595447 632753 817949 1061449 1372117 1458083 1579229 3048719 6549917 11675939 15093287 17371519 24413327 31558691 33535909 36322267 56256797 64748389 83699137 268546597 347145601 399544937 618824767 712232279 920690507 1293906331 1489212947 1925080151 3431664617 14232969641 16381342417 21175881661 37748310787 78928286191 868211148101