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20110212122004 = 22321901293854289
BaseRepresentation
bin1001001001010010001100…
…00011001100010110010100
32122012111222021000101201100
410210221012003030112110
510113441203300401004
6110434300502230100
74143625542424554
oct444510603142624
978174867011640
1020110212122004
11645376951a594
1223095b1425330
13b2b500720604
144d74a769b164
1524d1a58ce739
hex124a460cc594

20110212122004 has 36 divisors (see below), whose sum is σ = 50860888221780. Its totient is φ = 6699877766400.

The previous prime is 20110212121981. The next prime is 20110212122023. The reversal of 20110212122004 is 40022121201102.

It can be written as a sum of positive squares in 2 ways, for example, as 2771066281104 + 17339145840900 = 1664652^2 + 4164030^2 .

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 a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 146858709 + ... + 146995580.

It is an arithmetic number, because the mean of its divisors is an integer number (1412802450605).

Almost surely, 220110212122004 is an apocalyptic number.

It is an amenable number.

20110212122004 is an abundant number, since it is smaller than the sum of its proper divisors (30750676099776).

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

20110212122004 is a wasteful number, since it uses less digits than its factorization.

20110212122004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293856200 (or 293856195 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20110212122004 its reverse (40022121201102), we get a palindrome (60132333323106).

The spelling of 20110212122004 in words is "twenty trillion, one hundred ten billion, two hundred twelve million, one hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1901 3802 5703 7604 11406 17109 22812 34218 68436 293854289 587708578 881562867 1175417156 1763125734 2644688601 3526251468 5289377202 10578754404 558617003389 1117234006778 1675851010167 2234468013556 3351702020334 5027553030501 6703404040668 10055106061002 20110212122004