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12340221400 = 2352134746239
BaseRepresentation
bin10110111111000100…
…01101010111011000
31011212000022012101001
423133202031113120
5200233044041100
65400301434344
7614542102603
oct133742152730
934760265331
1012340221400
115262807a91
12248486b9b4
1312187a5b70
14850ca133a
154c3576d6a
hex2df88d5d8

12340221400 has 48 divisors (see below), whose sum is σ = 30898022400. Its totient is φ = 4556388480.

The previous prime is 12340221373. The next prime is 12340221431. The reversal of 12340221400 is 412204321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2370520 + ... + 2375719.

It is an arithmetic number, because the mean of its divisors is an integer number (643708800).

Almost surely, 212340221400 is an apocalyptic number.

12340221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12340221400 is an abundant number, since it is smaller than the sum of its proper divisors (18557801000).

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

12340221400 is a wasteful number, since it uses less digits than its factorization.

12340221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746268 (or 4746259 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12340221400 its reverse (412204321), we get a palindrome (12752425721).

The spelling of 12340221400 in words is "twelve billion, three hundred forty million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4746239 9492478 18984956 23731195 37969912 47462390 61701107 94924780 118655975 123402214 189849560 237311950 246804428 308505535 474623900 493608856 617011070 949247800 1234022140 1542527675 2468044280 3085055350 6170110700 12340221400