Search a number
-
+
212201312020 = 225531631228159
BaseRepresentation
bin1100010110100000101…
…1110000111100010100
3202021201200012120000121
43011220023300330110
511434042013441040
6241252310321324
721221355251155
oct3055013607424
9667650176017
10212201312020
1181aa3121545
1235161959244
131701a0aa229
14a3b074392c
1557be70cc4a
hex31682f0f14

212201312020 has 48 divisors (see below), whose sum is σ = 456816568320. Its totient is φ = 82768023936.

The previous prime is 212201311969. The next prime is 212201312027. The reversal of 212201312020 is 20213102212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212201311985 and 212201312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201312027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441300 + ... + 786859.

It is an arithmetic number, because the mean of its divisors is an integer number (9517011840).

Almost surely, 2212201312020 is an apocalyptic number.

212201312020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201312020 is an abundant number, since it is smaller than the sum of its proper divisors (244615256300).

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

212201312020 is a wasteful number, since it uses less digits than its factorization.

212201312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228384 (or 1228382 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212201312020 its reverse (20213102212), we get a palindrome (232414414232).

The spelling of 212201312020 in words is "two hundred twelve billion, two hundred one million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 163 212 265 326 530 652 815 1060 1630 3260 8639 17278 34556 43195 86390 172780 1228159 2456318 4912636 6140795 12281590 24563180 65092427 130184854 200189917 260369708 325462135 400379834 650924270 800759668 1000949585 1301848540 2001899170 4003798340 10610065601 21220131202 42440262404 53050328005 106100656010 212201312020