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20312131213 = 112167868853
BaseRepresentation
bin10010111010101100…
…101000011010001101
31221102120212011210001
4102322230220122031
5313044401144323
613155315244301
71316232160303
oct227254503215
957376764701
1020312131213
118683739900
123b2a5a9691
131bb926236a
14da9936273
157dd3743ad
hex4bab2868d

20312131213 has 6 divisors (see below), whose sum is σ = 22326557582. Its totient is φ = 18465573720.

The previous prime is 20312131187. The next prime is 20312131219. The reversal of 20312131213 is 31213121302.

It can be written as a sum of positive squares in only one way, i.e., 20001596329 + 310534884 = 141427^2 + 17622^2 .

It is not a de Polignac number, because 20312131213 - 25 = 20312131181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312131219) 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 5 ways as a sum of consecutive naturals, for example, 83934306 + ... + 83934547.

Almost surely, 220312131213 is an apocalyptic number.

It is an amenable number.

20312131213 is a deficient number, since it is larger than the sum of its proper divisors (2014426369).

20312131213 is a wasteful number, since it uses less digits than its factorization.

20312131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167868875 (or 167868864 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 20312131213 its reverse (31213121302), we get a palindrome (51525252515).

It can be divided in two parts, 20312 and 131213, that added together give a triangular number (151525 = T550).

The spelling of 20312131213 in words is "twenty billion, three hundred twelve million, one hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 11 121 167868853 1846557383 20312131213