Search a number
-
+
301201200021313 = 293137599713911383
BaseRepresentation
bin100010001111100001101111…
…0100010000111111101000001
31110111110112221111201002121101
41010133003132202013331001
5303434340024201140223
62544333530541254401
7120305032344260404
oct10437033642077501
91414415844632541
10301201200021313
1187a76791127369
1229946988564401
13cc0b1c74c08b7
145454304497d3b
1524c4e03a8b4ad
hex111f0de887f41

301201200021313 has 128 divisors (see below), whose sum is σ = 341865345024000. Its totient is φ = 264471379845120.

The previous prime is 301201200021157. The next prime is 301201200021343. The reversal of 301201200021313 is 313120002102103.

It is a de Polignac number, because none of the positive numbers 2k-301201200021313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (301201200021343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26460611020 + ... + 26460622402.

It is an arithmetic number, because the mean of its divisors is an integer number (2670823008000).

Almost surely, 2301201200021313 is an apocalyptic number.

It is an amenable number.

301201200021313 is a deficient number, since it is larger than the sum of its proper divisors (40664145002687).

301201200021313 is a wasteful number, since it uses less digits than its factorization.

301201200021313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11775.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 301201200021313 its reverse (313120002102103), we get a palindrome (614321202123416).

The spelling of 301201200021313 in words is "three hundred one trillion, two hundred one billion, two hundred million, twenty-one thousand, three hundred thirteen".

Divisors: 1 29 31 37 59 97 139 899 1073 1147 1711 1829 2183 2813 3007 3589 4031 4309 5143 5723 8201 11383 13483 33263 53041 63307 67673 87203 104081 111259 124961 149147 159433 165967 177413 211751 237829 254231 303437 330107 352873 391007 417973 421171 498871 671597 795497 1104151 1582237 1962517 3226511 4623557 5144977 6140779 6564281 7372699 8799673 9406547 10233317 12121217 12213959 13056301 14467259 15465001 19476313 20819507 23069413 24660407 24849089 29433389 32020379 34228681 40853587 45884873 49049347 58542769 65144909 93351983 153476989 190364149 272789863 378632729 448485029 603765703 715151803 720623581 770321759 853568281 912435059 992631749 1184754023 1266461197 1422431063 1697740301 1814825839 1889202361 2019492179 2410361633 2707207507 2893911473 3454023371 4450832681 4757786659 5678648593 9055142351 22339331011 26460616711 36727374713 52629949331 58565273191 69900487357 74721210623 83923432717 100166677759 107074724501 137975813111 164680809197 176038106383 262599128179 280709412881 335040266987 2166915108067 3105167010529 5105105085107 8140572973549 9716167742623 10386248276597 301201200021313