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20311233213222 = 23373773154312893
BaseRepresentation
bin1001001111001000100111…
…10101110011001100100110
32122220201211202122220001000
410213210103311303030212
510130234401200310342
6111110503550014130
74164303202465110
oct447442365631446
978821752586030
1020311233213222
116520a446aa726
122340552aa7346
13b44458452973
145030d721a3b0
1525351d7ee44c
hex127913d73326

20311233213222 has 256 divisors, whose sum is σ = 53742951198720. Its totient is φ = 5564977634304.

The previous prime is 20311233213209. The next prime is 20311233213223. The reversal of 20311233213222 is 22231233211302.

20311233213222 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 1 + 2 + 332 + 1 + 322 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311233213223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1575362608 + ... + 1575375500.

It is an arithmetic number, because the mean of its divisors is an integer number (209933403120).

Almost surely, 220311233213222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311233213222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26871475599360).

20311233213222 is an abundant number, since it is smaller than the sum of its proper divisors (33431717985498).

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

20311233213222 is a wasteful number, since it uses less digits than its factorization.

20311233213222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14564 (or 14558 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 20311233213222 its reverse (22231233211302), we get a palindrome (42542466424524).

The spelling of 20311233213222 in words is "twenty trillion, three hundred eleven billion, two hundred thirty-three million, two hundred thirteen thousand, two hundred twenty-two".