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211244212102320 = 243251731695923347
BaseRepresentation
bin110000000010000000100000…
…001110010010010010110000
31000200221202020100102221000100
4300002000200032102102300
5210142011121244233240
62025140130141552400
762331614334233505
oct6002004016222260
91020852210387010
10211244212102320
11613441926742a1
121b838663275700
1390b4322609a97
143a243bb0114ac
151964e30374e30
hexc020203924b0

211244212102320 has 120 divisors (see below), whose sum is σ = 713529222050736. Its totient is φ = 56006172578304.

The previous prime is 211244212102309. The next prime is 211244212102351. The reversal of 211244212102320 is 23201212442112.

211244212102320 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 4 + 421 + 2 + 1 + 0 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847837114 + ... + 848086233.

Almost surely, 2211244212102320 is an apocalyptic number.

211244212102320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211244212102320 is an abundant number, since it is smaller than the sum of its proper divisors (502285009948416).

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

211244212102320 is a wasteful number, since it uses less digits than its factorization.

211244212102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695923539 (or 1695923530 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 211244212102320 its reverse (23201212442112), we get a palindrome (234445424544432).

The spelling of 211244212102320 in words is "two hundred eleven trillion, two hundred forty-four billion, two hundred twelve million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 173 180 240 346 360 519 692 720 865 1038 1384 1557 1730 2076 2595 2768 3114 3460 4152 5190 6228 6920 7785 8304 10380 12456 13840 15570 20760 24912 31140 41520 62280 124560 1695923347 3391846694 5087770041 6783693388 8479616735 10175540082 13567386776 15263310123 16959233470 20351080164 25438850205 27134773552 30526620246 33918466940 40702160328 50877700410 61053240492 67836933880 76316550615 81404320656 101755400820 122106480984 135673867760 152633101230 203510801640 244212961968 293394739031 305266202460 407021603280 586789478062 610532404920 880184217093 1173578956124 1221064809840 1466973695155 1760368434186 2347157912248 2640552651279 2933947390310 3520736868372 4400921085465 4694315824496 5281105302558 5867894780620 7041473736744 8801842170930 10562210605116 11735789561240 13202763256395 14082947473488 17603684341860 21124421210232 23471579122480 26405526512790 35207368683720 42248842420464 52811053025580 70414737367440 105622106051160 211244212102320