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212202121320 = 233257315415021
BaseRepresentation
bin1100010110100000111…
…0110110100001101000
3202021201201201200011200
43011220032312201220
511434042220340240
6241252335524200
721221365161510
oct3055016664150
9667651650150
10212202121320
1181aa3624592
1235162089660
131701a3016c7
14a3b08b4840
1557be81c930
hex31683b6868

212202121320 has 384 divisors, whose sum is σ = 815270676480. Its totient is φ = 46842624000.

The previous prime is 212202121303. The next prime is 212202121321. The reversal of 212202121320 is 23121202212.

212202121320 is a `hidden beast` number, since 2 + 1 + 220 + 2 + 121 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212202121293 and 212202121302.

It is not an unprimeable number, because it can be changed into a prime (212202121321) 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 95 ways as a sum of consecutive naturals, for example, 42260410 + ... + 42265430.

It is an arithmetic number, because the mean of its divisors is an integer number (2123100720).

Almost surely, 2212202121320 is an apocalyptic number.

212202121320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212202121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407635338240).

212202121320 is an abundant number, since it is smaller than the sum of its proper divisors (603068555160).

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

212202121320 is a wasteful number, since it uses less digits than its factorization.

212202121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212202121320 its reverse (23121202212), we get a palindrome (235323323532).

The spelling of 212202121320 in words is "two hundred twelve billion, two hundred two million, one hundred twenty-one thousand, three hundred twenty".