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20312312202 = 232713591012081
BaseRepresentation
bin10010111010101101…
…010100100110001010
31221102121012101001100
4102322231110212022
5313044422442302
613155323202230
71316233543050
oct227255244612
957377171040
1020312312202
118683852886
123b2a676376
131bb92c6860
14da99821d0
157dd3acd1c
hex4bab5498a

20312312202 has 192 divisors, whose sum is σ = 55656357120. Its totient is φ = 5211648000.

The previous prime is 20312312201. The next prime is 20312312221. The reversal of 20312312202 is 20221321302.

20312312202 is a `hidden beast` number, since 20 + 312 + 312 + 20 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20312312201) 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, 9759802 + ... + 9761882.

It is an arithmetic number, because the mean of its divisors is an integer number (289876860).

Almost surely, 220312312202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20312312202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27828178560).

20312312202 is an abundant number, since it is smaller than the sum of its proper divisors (35344044918).

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

20312312202 is a wasteful number, since it uses less digits than its factorization.

20312312202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20312312202 its reverse (20221321302), we get a palindrome (40533633504).

The spelling of 20312312202 in words is "twenty billion, three hundred twelve million, three hundred twelve thousand, two hundred two".