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20301210314 = 271117232331447
BaseRepresentation
bin10010111010000010…
…111110001011001010
31221101211022100010022
4102322002332023022
5313034102212224
613154245220442
71316040304040
oct227202761312
957354270108
1020301210314
11867855a870
123b26a01722
131bb6c0a5a8
14da82d2390
157dc41865e
hex4ba0be2ca

20301210314 has 128 divisors (see below), whose sum is σ = 42156122112. Its totient is φ = 7085168640.

The previous prime is 20301210289. The next prime is 20301210367. The reversal of 20301210314 is 41301210302.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 20301210292 and 20301210301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14029139 + ... + 14030585.

It is an arithmetic number, because the mean of its divisors is an integer number (329344704).

Almost surely, 220301210314 is an apocalyptic number.

20301210314 is an abundant number, since it is smaller than the sum of its proper divisors (21854911798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20301210314 is a wasteful number, since it uses less digits than its factorization.

20301210314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20301210314 its reverse (41301210302), we get a palindrome (61602420616).

The spelling of 20301210314 in words is "twenty billion, three hundred one million, two hundred ten thousand, three hundred fourteen".

Divisors: 1 2 7 11 14 17 22 23 34 46 77 119 154 161 187 233 238 253 322 374 391 466 506 782 1309 1447 1631 1771 2563 2618 2737 2894 3262 3542 3961 4301 5126 5359 5474 7922 8602 10129 10718 15917 17941 20258 24599 27727 30107 31834 33281 35882 37513 43571 49198 55454 58949 60214 66562 75026 87142 91103 111419 117898 172193 182206 222838 232967 270589 304997 337151 344386 366091 412643 465934 541178 565777 609994 637721 674302 732182 825286 1002133 1131554 1275442 1894123 2004266 2360057 2562637 3708661 3788246 3960439 4720114 5125274 5731567 6223547 7014931 7417322 7754473 7920878 11463134 12447094 14029862 15508946 25960627 40120969 43564829 51921254 54281311 63047237 80241938 85299203 87129658 108562622 126094474 131826041 170598406 263652082 441330659 597094421 882661318 922782287 1194188842 1450086451 1845564574 2900172902 10150605157 20301210314