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212014010423000 = 23532572557322627
BaseRepresentation
bin110000001101001101011011…
…110001110101011011011000
31000210200100012220210101121102
4300031031123301311123120
5210242114143132014000
62030525520343330532
762441335552056362
oct6015153361653330
91023610186711542
10212014010423000
1161610700765335
121b94189b150a48
13913bab2499896
143a4d76622dd32
151979e86ea13d5
hexc0d35bc756d8

212014010423000 has 128 divisors (see below), whose sum is σ = 498239505017280. Its totient is φ = 84442322534400.

The previous prime is 212014010422999. The next prime is 212014010423029. The reversal of 212014010423000 is 324010410212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656987687 + ... + 657310313.

Almost surely, 2212014010423000 is an apocalyptic number.

212014010423000 is a gapful number since it is divisible by the number (20) 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 212014010423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249119752508640).

212014010423000 is an abundant number, since it is smaller than the sum of its proper divisors (286225494594280).

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

212014010423000 is a wasteful number, since it uses less digits than its factorization.

212014010423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325462 (or 325448 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212014010423000 its reverse (324010410212), we get a palindrome (212338020833212).

The spelling of 212014010423000 in words is "two hundred twelve trillion, fourteen billion, ten million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 257 500 514 1000 1028 1285 2056 2557 2570 5114 5140 6425 10228 10280 12785 12850 20456 25570 25700 32125 51140 51400 63925 64250 102280 127850 128500 255700 257000 319625 322627 511400 639250 645254 657149 1278500 1290508 1314298 1613135 2557000 2581016 2628596 3226270 3285745 5257192 6452540 6571490 8065675 12905080 13142980 16131350 16428725 26285960 32262700 32857450 40328375 64525400 65714900 80656750 82143625 82915139 131429800 161313500 164287250 165830278 322627000 328574500 331660556 414575695 657149000 663321112 824957239 829151390 1649914478 1658302780 2072878475 3299828956 3316605560 4124786195 4145756950 6599657912 8249572390 8291513900 10364392375 16499144780 16583027800 20623930975 20728784750 32998289560 41247861950 41457569500 82495723900 82915139000 103119654875 164991447800 206239309750 212014010423 412478619500 424028020846 824957239000 848056041692 1060070052115 1696112083384 2120140104230 4240280208460 5300350260575 8480560416920 10600700521150 21201401042300 26501751302875 42402802084600 53003502605750 106007005211500 212014010423000