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312224212320020 = 2257111315595615001
BaseRepresentation
bin100011011111101110101110…
…1010000111111111100010100
31111221111100021012001200011022
41012333131131100333330110
5311410440141323220040
63024013453434300312
7122523312020665640
oct10677353520777424
91457440235050138
10312224212320020
11905365aa205960
122b027188b87698
131052a8033bba40
145715a37dddc20
152616a056846b5
hex11bf75d43ff14

312224212320020 has 96 divisors (see below), whose sum is σ = 880341275632896. Its totient is φ = 89830742400000.

The previous prime is 312224212319963. The next prime is 312224212320023. The reversal of 312224212320020 is 20023212422213.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312224212320023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7797787481 + ... + 7797827520.

It is an arithmetic number, because the mean of its divisors is an integer number (9170221621176).

Almost surely, 2312224212320020 is an apocalyptic number.

It is an amenable number.

312224212320020 is an abundant number, since it is smaller than the sum of its proper divisors (568117063312876).

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

312224212320020 is a wasteful number, since it uses less digits than its factorization.

312224212320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15595615041 (or 15595615039 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 312224212320020 its reverse (20023212422213), we get a palindrome (332247424742233).

The spelling of 312224212320020 in words is "three hundred twelve trillion, two hundred twenty-four billion, two hundred twelve million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 15595615001 31191230002 62382460004 77978075005 109169305007 155956150010 171551765011 202742995013 218338610014 311912300020 343103530022 405485990026 436677220028 545846525035 686207060044 810971980052 857758825055 1013714975065 1091693050070 1200862355077 1419200965091 1715517650110 2027429950130 2183386100140 2230172945143 2401724710154 2838401930182 3431035300220 4054859900260 4460345890286 4803449420308 5676803860364 6004311775385 7096004825455 8920691780572 11150864725715 12008623550770 14192009650910 15611210616001 22301729451430 24017247101540 28384019301820 31222421232002 44603458902860 62444842464004 78056053080005 156112106160010 312224212320020