Search a number
-
+
212120210211100 = 225210143947840549
BaseRepresentation
bin110000001110110000010101…
…110001111000000100011100
31000211001111100011102121021121
4300032300111301320010130
5210300334142303223400
62031050402421340324
762452115360266012
oct6016602561700434
91024044304377247
10212120210211100
1161651748779a54
121b95a3992676a4
139148b08586a99
143a5495c8288b2
15197cb0063a21a
hexc0ec15c7811c

212120210211100 has 72 divisors (see below), whose sum is σ = 465917202828000. Its totient is φ = 83816640096000.

The previous prime is 212120210211047. The next prime is 212120210211131. The reversal of 212120210211100 is 1112012021212.

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, 19486375 + ... + 28354174.

It is an arithmetic number, because the mean of its divisors is an integer number (6471072261500).

Almost surely, 2212120210211100 is an apocalyptic number.

212120210211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120210211100 is an abundant number, since it is smaller than the sum of its proper divisors (253796992616900).

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

212120210211100 is a wasteful number, since it uses less digits than its factorization.

212120210211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47841103 (or 47841096 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212120210211100 its reverse (1112012021212), we get a palindrome (213232222232312).

The spelling of 212120210211100 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred ten million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 439 505 878 1010 1756 2020 2195 2525 4390 5050 8780 10100 10975 21950 43900 44339 88678 177356 221695 443390 886780 1108475 2216950 4433900 47840549 95681098 191362196 239202745 478405490 956810980 1196013725 2392027450 4784054900 4831895449 9663790898 19327581796 21002001011 24159477245 42004002022 48318954490 84008004044 96637908980 105010005055 120797386225 210020010110 241594772450 420040020220 483189544900 525050025275 1050100050550 2100200101100 2121202102111 4242404204222 8484808408444 10606010510555 21212021021110 42424042042220 53030052552775 106060105105550 212120210211100