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13312231004100 = 2235279836448787
BaseRepresentation
bin1100000110110111111011…
…0011001101011111000100
31202010122012021012221102110
43001231332303031133010
53221101422114112400
644151315434341020
72542530331345110
oct301557663153704
952118167187373
1013312231004100
11427275a397446
1215abbbb28a770
1375745176cb52
1434045b718740
151814359e6e50
hexc1b7eccd7c4

13312231004100 has 144 divisors (see below), whose sum is σ = 44063897730048. Its totient is φ = 3039699768960.

The previous prime is 13312231004087. The next prime is 13312231004113. The reversal of 13312231004100 is 140013221331.

It is an interprime number because it is at equal distance from previous prime (13312231004087) and next prime (13312231004113).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1160094 + ... + 5288693.

It is an arithmetic number, because the mean of its divisors is an integer number (305999289792).

Almost surely, 213312231004100 is an apocalyptic number.

13312231004100 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 13312231004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22031948865024).

13312231004100 is an abundant number, since it is smaller than the sum of its proper divisors (30751666725948).

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

13312231004100 is a wasteful number, since it uses less digits than its factorization.

13312231004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449794 (or 6449787 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13312231004100 its reverse (140013221331), we get a palindrome (13452244225431).

The spelling of 13312231004100 in words is "thirteen trillion, three hundred twelve billion, two hundred thirty-one million, four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 983 1050 1966 2100 2949 3932 4915 5898 6881 9830 11796 13762 14745 19660 20643 24575 27524 29490 34405 41286 49150 58980 68810 73725 82572 98300 103215 137620 147450 172025 206430 294900 344050 412860 516075 688100 1032150 2064300 6448787 12897574 19346361 25795148 32243935 38692722 45141509 64487870 77385444 90283018 96731805 128975740 135424527 161219675 180566036 193463610 225707545 270849054 322439350 386927220 451415090 483659025 541698108 644878700 677122635 902830180 967318050 1128537725 1354245270 1934636100 2257075450 2708490540 3385613175 4514150900 6339157621 6771226350 12678315242 13542452700 19017472863 25356630484 31695788105 38034945726 44374103347 63391576210 76069891452 88748206694 95087364315 126783152420 133122310041 158478940525 177496413388 190174728630 221870516735 266244620082 316957881050 380349457260 443741033470 475436821575 532489240164 633915762100 665611550205 887482066940 950873643150 1109352583675 1331223100410 1901747286300 2218705167350 2662446200820 3328057751025 4437410334700 6656115502050 13312231004100