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20311213122 = 2323741743837
BaseRepresentation
bin10010111010101001…
…001000010001000010
31221102112010112101200
4102322221020101002
5313044132304442
613155243442030
71316221314534
oct227251102102
957375115350
1020311213122
118683172052
123b2a226316
131bb9000505
14da9777854
157dd24234c
hex4baa48442

20311213122 has 48 divisors (see below), whose sum is σ = 46299452472. Its totient is φ = 6426743040.

The previous prime is 20311213073. The next prime is 20311213133. The reversal of 20311213122 is 22131211302.

20311213122 is a `hidden beast` number, since 20 + 311 + 21 + 312 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10832438241 + 9478774881 = 104079^2 + 97359^2 .

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 = 20311213095 and 20311213104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344613 + ... + 399224.

Almost surely, 220311213122 is an apocalyptic number.

20311213122 is an abundant number, since it is smaller than the sum of its proper divisors (25988239350).

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

20311213122 is a wasteful number, since it uses less digits than its factorization.

20311213122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743923 (or 743920 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20311213122 its reverse (22131211302), we get a palindrome (42442424424).

The spelling of 20311213122 in words is "twenty billion, three hundred eleven million, two hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 1517 3034 4551 9102 13653 27306 743837 1487674 2231511 4463022 6694533 13389066 27521969 30497317 55043938 60994634 82565907 91491951 165131814 182983902 247697721 274475853 495395442 548951706 1128400729 2256801458 3385202187 6770404374 10155606561 20311213122