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20001182112 = 253269448549
BaseRepresentation
bin10010101000001010…
…011101000110100000
31220121220202022210200
4102220022131012200
5311430300311422
613104410425200
71305435146202
oct225012350640
956556668720
1020001182112
11853416717a
123a62432200
131b699cca02
14d7a512772
157c0e012ac
hex4a829d1a0

20001182112 has 36 divisors (see below), whose sum is σ = 56878362450. Its totient is φ = 6667060608.

The previous prime is 20001182107. The next prime is 20001182119. The reversal of 20001182112 is 21128110002.

It can be written as a sum of positive squares in only one way, i.e., 13810010256 + 6191171856 = 117516^2 + 78684^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (20001182119) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 34723987 + ... + 34724562.

Almost surely, 220001182112 is an apocalyptic number.

It is an amenable number.

20001182112 is an abundant number, since it is smaller than the sum of its proper divisors (36877180338).

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

20001182112 is a wasteful number, since it uses less digits than its factorization.

20001182112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69448565 (or 69448554 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20001182112 its reverse (21128110002), we get a palindrome (41129292114).

The spelling of 20001182112 in words is "twenty billion, one million, one hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 69448549 138897098 208345647 277794196 416691294 555588392 625036941 833382588 1111176784 1250073882 1666765176 2222353568 2500147764 3333530352 5000295528 6667060704 10000591056 20001182112