Search a number
-
+
212210122020210 = 232517299415082613
BaseRepresentation
bin110000010000000100000100…
…111100001101010101110010
31000211101002102021100202020200
4300100010010330031111302
5210303322312214121320
62031155552331420030
762461450436123166
oct6020040474152562
91024332367322220
10212210122020210
1161686897634a06
121b9738b05b4616
13915443703b6b2
143a5904bb2aca6
151980113d96290
hexc10104f0d572

212210122020210 has 192 divisors, whose sum is σ = 604989236947680. Its totient is φ = 51369349570560.

The previous prime is 212210122020179. The next prime is 212210122020271. The reversal of 212210122020210 is 12020221012212.

It is a happy number.

212210122020210 is a `hidden beast` number, since 2 + 1 + 2 + 210 + 1 + 220 + 20 + 210 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 84063941112321 + 128146180907889 = 9168639^2 + 11320167^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39210864 + ... + 44293476.

Almost surely, 2212210122020210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212210122020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302494618473840).

212210122020210 is an abundant number, since it is smaller than the sum of its proper divisors (392779114927470).

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

212210122020210 is a wasteful number, since it uses less digits than its factorization.

212210122020210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083613 (or 5083610 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212210122020210 its reverse (12020221012212), we get a palindrome (224230343032422).

The spelling of 212210122020210 in words is "two hundred twelve trillion, two hundred ten billion, one hundred twenty-two million, twenty thousand, two hundred ten".