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212120331200010 = 232510126388728403
BaseRepresentation
bin110000001110110000011100…
…111111011010011000001010
31000211001111122121002110212100
4300032300130333122120022
5210300334414241400020
62031050422422454230
762452121356546242
oct6016603477323012
91024044577073770
10212120331200010
11616517aaaa6792
121b95a411894376
139148b27668b5c
143a54970920b22
15197cb0b088a90
hexc0ec1cfda60a

212120331200010 has 96 divisors (see below), whose sum is σ = 559091160321408. Its totient is φ = 55792419177600.

The previous prime is 212120331199957. The next prime is 212120331200039. The reversal of 212120331200010 is 10002133021212.

212120331200010 is a `hidden beast` number, since 2 + 1 + 2 + 120 + 331 + 200 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41973532 + ... + 46754871.

It is an arithmetic number, because the mean of its divisors is an integer number (5823866253348).

Almost surely, 2212120331200010 is an apocalyptic number.

212120331200010 is an abundant number, since it is smaller than the sum of its proper divisors (346970829121398).

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

212120331200010 is a wasteful number, since it uses less digits than its factorization.

212120331200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88728780 (or 88728777 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212120331200010 its reverse (10002133021212), we get a palindrome (222122464221222).

The spelling of 212120331200010 in words is "two hundred twelve trillion, one hundred twenty billion, three hundred thirty-one million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 263 303 505 526 606 789 909 1010 1315 1515 1578 1818 2367 2630 3030 3945 4545 4734 7890 9090 11835 23670 26563 53126 79689 132815 159378 239067 265630 398445 478134 796890 1195335 2390670 88728403 177456806 266185209 443642015 532370418 798555627 887284030 1330926045 1597111254 2661852090 3992778135 7985556270 8961568703 17923137406 23335569989 26884706109 44807843515 46671139978 53769412218 70006709967 80654118327 89615687030 116677849945 134423530545 140013419934 161308236654 210020129901 233355699890 268847061090 350033549835 403270591635 420040259802 700067099670 806541183270 1050100649505 2100201299010 2356892568889 4713785137778 7070677706667 11784462844445 14141355413334 21212033120001 23568925688890 35353388533335 42424066240002 70706777066670 106060165600005 212120331200010