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20302300320302 = 27211132151738011
BaseRepresentation
bin1001001110110111111110…
…11001100001001000101110
32122212212210012211220122002
410213123333121201020232
510130113102340222202
6111102425323052302
74163535633241400
oct447337731411056
978785705756562
1020302300320302
116518180283aa0
12233a87b371092
13b4366386a500
145028caab2b70
1525319947b302
hex1276ff66122e

20302300320302 has 144 divisors (see below), whose sum is σ = 42124567757184. Its totient is φ = 7253162280000.

The previous prime is 20302300320293. The next prime is 20302300320331.

20302300320302 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27140477 + ... + 27878487.

It is an arithmetic number, because the mean of its divisors is an integer number (292531720536).

Almost surely, 220302300320302 is an apocalyptic number.

20302300320302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20302300320302 is an abundant number, since it is smaller than the sum of its proper divisors (21822267436882).

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

20302300320302 is a wasteful number, since it uses less digits than its factorization.

20302300320302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738215 (or 738195 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

It can be divided in two parts, 20302300 and 320302, that added together give a palindrome (20622602).

The spelling of 20302300320302 in words is "twenty trillion, three hundred two billion, three hundred million, three hundred twenty thousand, three hundred two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 151 154 169 182 286 302 338 539 637 1001 1057 1078 1183 1274 1661 1859 1963 2002 2114 2366 3322 3718 3926 7007 7399 8281 11627 13013 13741 14014 14798 16562 21593 23254 25519 26026 27482 43186 51038 81389 91091 96187 151151 162778 178633 182182 192374 280709 302302 357266 561418 738011 1058057 1250431 1476022 1964963 2116114 2500862 3929926 5166077 8118121 9594143 10332154 13754741 16236242 19188286 27509482 36162539 56826847 67159001 72325078 105535573 111439661 113653694 124723859 134318002 211071146 222879322 249447718 397787929 470113007 738749011 780077627 795575858 873067013 940226014 1225836271 1371962449 1448715593 1477498022 1560155254 1746134026 2451672542 2743924898 2897431186 5171243077 5460543389 6111469091 8580853897 9603737143 10141009151 10342486154 10921086778 12222938182 15935871523 17161707794 18833302709 19207474286 20282018302 31871743046 37666605418 60065977279 67226160001 70987064057 111551100661 120131954558 131833118963 134452320002 141974128114 207166329799 223102201322 263666237926 414332659598 780857704627 922831832741 1450164308593 1561715409254 1845663665482 2900328617186 10151150160151 20302300320302