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12342414430300 = 22524119715280939
BaseRepresentation
bin1011001110011011000100…
…1110100101000001011100
31121200220221002020102202111
42303212301032211001130
53104204231043232200
642130005451403404
72412465351443143
oct263466116450134
947626832212674
1012342414430300
113a294301a8389
121474061753564
136b6b6686c916
14309539c2675a
151660c403d0ba
hexb39b13a505c

12342414430300 has 72 divisors (see below), whose sum is σ = 27575556457680. Its totient is φ = 4792102156800.

The previous prime is 12342414430277. The next prime is 12342414430327. The reversal of 12342414430300 is 303441424321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6832770 + ... + 8448169.

It is an arithmetic number, because the mean of its divisors is an integer number (382993839690).

Almost surely, 212342414430300 is an apocalyptic number.

12342414430300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342414430300 is an abundant number, since it is smaller than the sum of its proper divisors (15233142027380).

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

12342414430300 is a wasteful number, since it uses less digits than its factorization.

12342414430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15281191 (or 15281184 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 12342414430300 its reverse (303441424321), we get a palindrome (12645855854621).

The spelling of 12342414430300 in words is "twelve trillion, three hundred forty-two billion, four hundred fourteen million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 197 205 394 410 788 820 985 1025 1970 2050 3940 4100 4925 8077 9850 16154 19700 32308 40385 80770 161540 201925 403850 807700 15280939 30561878 61123756 76404695 152809390 305618780 382023475 626518499 764046950 1253036998 1528093900 2506073996 3010344983 3132592495 6020689966 6265184990 12041379932 12530369980 15051724915 15662962475 30103449830 31325924950 60206899660 62651849900 75258624575 123424144303 150517249150 246848288606 301034498300 493696577212 617120721515 1234241443030 2468482886060 3085603607575 6171207215150 12342414430300