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212101201122210 = 23252356680012469
BaseRepresentation
bin110000001110011110101000…
…101111111101001110100010
31000210222200021101110211112100
4300032132220233331032202
5210300031224441402320
62031033540250511230
762450543326556541
oct6016365057751642
91023880241424470
10212101201122210
1161644683626134
121b956773135516
1391470992863aa
143a53a77da6158
15197c38b8a7790
hexc0e7a8bfd3a2

212101201122210 has 24 divisors (see below), whose sum is σ = 551463122917980. Its totient is φ = 56560320299232.

The previous prime is 212101201122149. The next prime is 212101201122229. The reversal of 212101201122210 is 12221102101212.

212101201122210 is a `hidden beast` number, since 2 + 1 + 210 + 120 + 1 + 122 + 210 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200913360220881 + 11187840901329 = 14174391^2 + 3344823^2 .

It is a super-3 number, since 3×2121012011222103 (a number of 44 digits) contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1178340006145 + ... + 1178340006324.

Almost surely, 2212101201122210 is an apocalyptic number.

212101201122210 is an abundant number, since it is smaller than the sum of its proper divisors (339361921795770).

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

212101201122210 is a wasteful number, since it uses less digits than its factorization.

212101201122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356680012482 (or 2356680012479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212101201122210 its reverse (12221102101212), we get a palindrome (224322303223422).

The spelling of 212101201122210 in words is "two hundred twelve trillion, one hundred one billion, two hundred one million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2356680012469 4713360024938 7070040037407 11783400062345 14140080074814 21210120112221 23566800124690 35350200187035 42420240224442 70700400374070 106050600561105 212101201122210