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211301323103112 = 233112266327323381
BaseRepresentation
bin110000000010110101101100…
…010011011101101110001000
31000201011012122111212100212220
4300002311230103131232020
5210143430102203244422
62025222253204534040
762336005523566134
oct6002655423355610
91021135574770786
10211301323103112
116136642a306500
121b8477416b1320
1390b9824678488
143a27077d143c4
15196667415ce5c
hexc02d6c4ddb88

211301323103112 has 96 divisors (see below), whose sum is σ = 580860127391040. Its totient is φ = 64006657052800.

The previous prime is 211301323103081. The next prime is 211301323103137.

211301323103112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5928339 + ... + 21395042.

It is an arithmetic number, because the mean of its divisors is an integer number (6050626326990).

Almost surely, 2211301323103112 is an apocalyptic number.

211301323103112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211301323103112 is an abundant number, since it is smaller than the sum of its proper divisors (369558804287928).

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

211301323103112 is a wasteful number, since it uses less digits than its factorization.

211301323103112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27326075 (or 27326060 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 211301323103112 in words is "two hundred eleven trillion, three hundred one billion, three hundred twenty-three million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2663 2904 5326 7989 10652 15978 21304 29293 31956 58586 63912 87879 117172 175758 234344 322223 351516 644446 703032 966669 1288892 1933338 2577784 3866676 7733352 27323381 54646762 81970143 109293524 163940286 218587048 300557191 327880572 601114382 655761144 901671573 1202228764 1803343146 2404457528 3306129101 3606686292 6612258202 7213372584 9918387303 13224516404 19836774606 26449032808 39673549212 72762163603 79347098424 145524327206 218286490809 291048654412 436572981618 582097308824 800383799633 873145963236 1600767599266 1746291926472 2401151398899 3201535198532 4802302797798 6403070397064 8804221795963 9604605595596 17608443591926 19209211191192 26412665387889 35216887183852 52825330775778 70433774367704 105650661551556 211301323103112