Search a number
-
+
212020212101310 = 232517421643511909
BaseRepresentation
bin110000001101010011001101…
…011011010111000010111110
31000210200221020010100021220200
4300031103031123113002332
5210242214343244220220
62030532424003024330
762441645335342224
oct6015231533270276
91023627203307820
10212020212101310
11616132a3415008
121b942b3006b0a6
13913c560289812
143a4db93b3ab14
15197a1eb675890
hexc0d4cd6d70be

212020212101310 has 192 divisors, whose sum is σ = 585976627978560. Its totient is φ = 53003855278080.

The previous prime is 212020212101281. The next prime is 212020212101323. The reversal of 212020212101310 is 13101212020212.

212020212101310 is a `hidden beast` number, since 2 + 1 + 20 + 20 + 212 + 101 + 310 = 666.

It is a super-2 number, since 2×2120202121013102 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 413919636 + ... + 414431544.

It is an arithmetic number, because the mean of its divisors is an integer number (3051961604055).

Almost surely, 2212020212101310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020212101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292988313989280).

212020212101310 is an abundant number, since it is smaller than the sum of its proper divisors (373956415877250).

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

212020212101310 is a wasteful number, since it uses less digits than its factorization.

212020212101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513003 (or 513000 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212020212101310 its reverse (13101212020212), we get a palindrome (225121424121522).

The spelling of 212020212101310 in words is "two hundred twelve trillion, twenty billion, two hundred twelve million, one hundred one thousand, three hundred ten".