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21320212332120 = 23351367677301303
BaseRepresentation
bin1001101100011111111111…
…01011101011111001011000
32210111012012020212211001020
410312033333223223321120
510243302243324111440
6113202211554122440
74330222510466262
oct466177753537130
983435166784036
1021320212332120
11687a940054539
122483bbbb80420
13bb8644a6a2c0
14539c91da0b32
1526e8c34ba3d0
hex1363ffaebe58

21320212332120 has 256 divisors, whose sum is σ = 70012250864640. Its totient is φ = 5162069772288.

The previous prime is 21320212332119. The next prime is 21320212332157. The reversal of 21320212332120 is 2123321202312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70609389 + ... + 70910691.

It is an arithmetic number, because the mean of its divisors is an integer number (273485354940).

Almost surely, 221320212332120 is an apocalyptic number.

21320212332120 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 21320212332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35006125432320).

21320212332120 is an abundant number, since it is smaller than the sum of its proper divisors (48692038532520).

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

21320212332120 is a wasteful number, since it uses less digits than its factorization.

21320212332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302074 (or 302070 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21320212332120 its reverse (2123321202312), we get a palindrome (23443533534432).

The spelling of 21320212332120 in words is "twenty-one trillion, three hundred twenty billion, two hundred twelve million, three hundred thirty-two thousand, one hundred twenty".