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131213313000220 = 225112276959377557
BaseRepresentation
bin11101110101011001111010…
…111010010100001100011100
3122012120212111101110212210111
4131311121322322110030130
5114144244331112001340
61143022321442215404
736431564134065313
oct3565317272241434
9565525441425714
10131213313000220
1138899287512440
1212872029054564
13582a4930419c9
142458a8884b27a
15102825ce11aea
hex77567ae9431c

131213313000220 has 96 divisors (see below), whose sum is σ = 301966176476160. Its totient is φ = 47496786435840.

The previous prime is 131213313000169. The next prime is 131213313000323. The reversal of 131213313000220 is 22000313312131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131213313000191 and 131213313000200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347343682 + ... + 347721238.

It is an arithmetic number, because the mean of its divisors is an integer number (3145481004960).

Almost surely, 2131213313000220 is an apocalyptic number.

131213313000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131213313000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150983088238080).

131213313000220 is an abundant number, since it is smaller than the sum of its proper divisors (170752863475940).

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

131213313000220 is a wasteful number, since it uses less digits than its factorization.

131213313000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384763 (or 384761 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131213313000220 its reverse (22000313312131), we get a palindrome (153213626312351).

The spelling of 131213313000220 in words is "one hundred thirty-one trillion, two hundred thirteen billion, three hundred thirteen million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 227 454 908 1135 2270 2497 4540 4994 6959 9988 12485 13918 24970 27836 34795 49940 69590 76549 139180 153098 306196 377557 382745 755114 765490 1510228 1530980 1579693 1887785 3159386 3775570 4153127 6318772 7551140 7898465 8306254 15796930 16612508 17376623 20765635 31593860 34753246 41531270 69506492 83062540 85705439 86883115 171410878 173766230 342821756 347532460 428527195 857054390 942759829 1714108780 1885519658 2627419163 3771039316 4713799145 5254838326 9427598290 10509676652 13137095815 18855196580 26274191630 28901610793 52548383260 57803221586 115606443172 144508053965 289016107930 578032215860 596424150001 1192848300002 2385696600004 2982120750005 5964241500010 6560665650011 11928483000020 13121331300022 26242662600044 32803328250055 65606656500110 131213313000220