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212102122010132 = 224120175333120233
BaseRepresentation
bin110000001110011111011111…
…101000110111011000010100
31000210222202122120021210021102
4300032133133220313120110
5210300040121213311012
62031034211504405232
762450605211153144
oct6016373750673024
91023882576253242
10212102122010132
1161645006424932
121b95698b616818
1391471b4cb43a3
143a53b243dc924
15197c3e265d2c2
hexc0e7dfa37614

212102122010132 has 48 divisors (see below), whose sum is σ = 380494864329552. Its totient is φ = 103392902430720.

The previous prime is 212102122010131. The next prime is 212102122010167. The reversal of 212102122010132 is 231010221201212.

It can be written as a sum of positive squares in 8 ways, for example, as 2001619425796 + 210100502584336 = 1414786^2 + 14494844^2 .

It is a super-2 number, since 2×2121021220101322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102122010131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1764032288 + ... + 1764152520.

It is an arithmetic number, because the mean of its divisors is an integer number (7926976340199).

Almost surely, 2212102122010132 is an apocalyptic number.

It is an amenable number.

212102122010132 is a deficient number, since it is larger than the sum of its proper divisors (168392742319420).

212102122010132 is a wasteful number, since it uses less digits than its factorization.

212102122010132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127628 (or 127626 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 212102122010132 its reverse (231010221201212), we get a palindrome (443112343211344).

The spelling of 212102122010132 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty-two million, ten thousand, one hundred thirty-two".

Divisors: 1 2 4 41 82 164 2017 4034 5333 8068 10666 21332 82697 120233 165394 218653 240466 330788 437306 480932 874612 4929553 9859106 10756661 19718212 21513322 43026644 242509961 441023101 485019922 641202589 882046202 970039844 1282405178 1764092404 2564810356 9942908401 19885816802 26289306149 39771633604 52578612298 105157224596 1293305622013 2586611244026 5173222488052 53025530502533 106051061005066 212102122010132