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21312301231312 = 2472137192908319
BaseRepresentation
bin1001101100010001010000…
…01001001110110011010000
32210110102202220202020220121
410312020220021032303100
510243140043103400222
6113154422551520024
74326522456315400
oct466105011166320
983412686666817
1021312301231312
1168775504863a3
122482572689014
13bb7983a82070
14539741438800
1526e5adbd05c7
hex13622824ecd0

21312301231312 has 120 divisors (see below), whose sum is σ = 51801134515200. Its totient is φ = 8419510810368.

The previous prime is 21312301231297. The next prime is 21312301231349. The reversal of 21312301231312 is 21313210321312.

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, 5873889 + ... + 8782207.

It is an arithmetic number, because the mean of its divisors is an integer number (431676120960).

Almost surely, 221312301231312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312301231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25900567257600).

21312301231312 is an abundant number, since it is smaller than the sum of its proper divisors (30488833283888).

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

21312301231312 is a wasteful number, since it uses less digits than its factorization.

21312301231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909073 (or 2909060 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 21312301231312 its reverse (21313210321312), we get a palindrome (42625511552624).

The spelling of 21312301231312 in words is "twenty-one trillion, three hundred twelve billion, three hundred one million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 719 728 784 1274 1438 1456 2548 2876 5033 5096 5752 9347 10066 10192 11504 18694 20132 35231 37388 40264 65429 70462 74776 80528 130858 140924 149552 261716 281848 458003 523432 563696 916006 1046864 1832012 2908319 3664024 5816638 7328048 11633276 20358233 23266552 37808147 40716466 46533104 75616294 81432932 142507631 151232588 162865864 264657029 285015262 302465176 325731728 529314058 570030524 604930352 1058628116 1140061048 1852599203 2091081361 2117256232 2280122096 3705198406 4182162722 4234512464 7410396812 8364325444 14637569527 14820793624 16728650888 27184057693 29275139054 29641587248 33457301776 54368115386 58550278108 102462986689 108736230772 117100556216 190288403851 204925973378 217472461544 234201112432 380576807702 409851946756 434944923088 761153615404 819703893512 1332018826957 1522307230808 1639407787024 2664037653914 3044614461616 5328075307828 10656150615656 21312301231312