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13234431112600 = 23521733591158821
BaseRepresentation
bin1100000010010110000110…
…0100001011010110011000
31201212012101020222221220111
43000211201210023112120
53213313103331100400
644051451432534104
72534104353234025
oct300454144132630
951765336887814
1013234431112600
114242766384455
121598b08251334
137500033a6ba9
1433a79ac4854c
1517e3d07673ba
hexc096190b598

13234431112600 has 96 divisors (see below), whose sum is σ = 32589782870400. Its totient is φ = 4980886476800.

The previous prime is 13234431112589. The next prime is 13234431112603. The reversal of 13234431112600 is 621113443231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13234431112603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10841190 + ... + 12000010.

It is an arithmetic number, because the mean of its divisors is an integer number (339476904900).

Almost surely, 213234431112600 is an apocalyptic number.

13234431112600 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 13234431112600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16294891435200).

13234431112600 is an abundant number, since it is smaller than the sum of its proper divisors (19355351757800).

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

13234431112600 is a wasteful number, since it uses less digits than its factorization.

13234431112600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162213 (or 1162204 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 13234431112600 its reverse (621113443231), we get a palindrome (13855544555831).

The spelling of 13234431112600 in words is "thirteen trillion, two hundred thirty-four billion, four hundred thirty-one million, one hundred twelve thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3359 3400 6718 13436 16795 26872 33590 57103 67180 83975 114206 134360 167950 228412 285515 335900 456824 571030 671800 1142060 1158821 1427575 2284120 2317642 2855150 4635284 5710300 5794105 9270568 11420600 11588210 19699957 23176420 28970525 39399914 46352840 57941050 78799828 98499785 115882100 157599656 196999570 231764200 393999140 492498925 787998280 984997850 1969995700 3892479739 3939991400 7784959478 15569918956 19462398695 31139837912 38924797390 66172155563 77849594780 97311993475 132344311126 155699189560 194623986950 264688622252 330860777815 389247973900 529377244504 661721555630 778495947800 1323443111260 1654303889075 2646886222520 3308607778150 6617215556300 13234431112600