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20212000011 = 337212950231
BaseRepresentation
bin10010110100101110…
…101010010100001011
31221011121102222121000
4102310232222110023
5312343233000021
613141341150043
71313605110510
oct226456522413
957147388530
1020212000011
118632168845
123b00b5b323
131ba15a3c28
14d9a50d307
157d4695b26
hex4b4baa50b

20212000011 has 32 divisors (see below), whose sum is σ = 34238131200. Its totient is φ = 11544059520.

The previous prime is 20212000001. The next prime is 20212000013. The reversal of 20212000011 is 11000021202.

It is not a de Polignac number, because 20212000011 - 27 = 20211999883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20211999957 and 20212000002.

It is not an unprimeable number, because it can be changed into a prime (20212000013) 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 31 ways as a sum of consecutive naturals, for example, 377266 + ... + 427496.

It is an arithmetic number, because the mean of its divisors is an integer number (1069941600).

Almost surely, 220212000011 is an apocalyptic number.

20212000011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20212000011 is a deficient number, since it is larger than the sum of its proper divisors (14026131189).

20212000011 is a wasteful number, since it uses less digits than its factorization.

20212000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52376 (or 52370 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20212000011 its reverse (11000021202), we get a palindrome (31212021213).

The spelling of 20212000011 in words is "twenty billion, two hundred twelve million, eleven", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 63 189 2129 6387 14903 19161 44709 50231 57483 134127 150693 351617 402381 452079 1054851 1356237 3164553 9493659 106941799 320825397 748592593 962476191 2245777779 2887428573 6737333337 20212000011