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212213130020 = 22535330058517
BaseRepresentation
bin1100010110100011100…
…0110110001100100100
3202021202111102222021022
43011220320312030210
511434103030130040
6241253411510312
721221560562033
oct3055070661444
9667674388238
10212213130020
1181aa9863591
12351658b8398
131701c687428
14a3b213c71a
1557c07946b5
hex3168e36324

212213130020 has 24 divisors (see below), whose sum is σ = 446910045624. Its totient is φ = 84644781056.

The previous prime is 212213129977. The next prime is 212213130023. The reversal of 212213130020 is 20031312212.

It can be written as a sum of positive squares in 4 ways, for example, as 3946854976 + 208266275044 = 62824^2 + 456362^2 .

It is not an unprimeable number, because it can be changed into a prime (212213130023) 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 7 ways as a sum of consecutive naturals, for example, 15022199 + ... + 15036318.

It is an arithmetic number, because the mean of its divisors is an integer number (18621251901).

Almost surely, 2212213130020 is an apocalyptic number.

212213130020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212213130020 is an abundant number, since it is smaller than the sum of its proper divisors (234696915604).

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

212213130020 is a wasteful number, since it uses less digits than its factorization.

212213130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30058879 (or 30058877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212213130020 its reverse (20031312212), we get a palindrome (232244442232).

The spelling of 212213130020 in words is "two hundred twelve billion, two hundred thirteen million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 353 706 1412 1765 3530 7060 30058517 60117034 120234068 150292585 300585170 601170340 10610656501 21221313002 42442626004 53053282505 106106565010 212213130020