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20001331300212 = 2234397691552277
BaseRepresentation
bin1001000110000111011000…
…01111110100011101110100
32121211002221011112120020000
410203003230033310131310
510110200211303101322
6110312252412311300
74133022430624413
oct443035417643564
977732834476200
1020001331300212
1164115760a3649
1222b0485472530
13b2116b05a742
144d20d8da947a
1524a431baa3ac
hex1230ec3f4774

20001331300212 has 60 divisors (see below), whose sum is σ = 52288779362820. Its totient is φ = 6666938492544.

The previous prime is 20001331300169. The next prime is 20001331300259. The reversal of 20001331300212 is 21200313310002.

20001331300212 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 331 + 300 + 2 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6646063376016 + 13355267924196 = 2577996^2 + 3654486^2 .

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 (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12109018 + ... + 13661294.

It is an arithmetic number, because the mean of its divisors is an integer number (871479656047).

Almost surely, 220001331300212 is an apocalyptic number.

It is an amenable number.

20001331300212 is an abundant number, since it is smaller than the sum of its proper divisors (32287448062608).

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

20001331300212 is a wasteful number, since it uses less digits than its factorization.

20001331300212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592062 (or 1592051 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20001331300212 its reverse (21200313310002), we get a palindrome (41201644610214).

The spelling of 20001331300212 in words is "twenty trillion, one billion, three hundred thirty-one million, three hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 39769 79538 119307 159076 238614 357921 477228 715842 1073763 1431684 1552277 2147526 3104554 3221289 4295052 4656831 6209108 6442578 9313662 12885156 13970493 18627324 27940986 41911479 55881972 83822958 125734437 167645916 251468874 502937748 61732504013 123465008026 185197512039 246930016052 370395024078 555592536117 740790048156 1111185072234 1666777608351 2222370144468 3333555216702 5000332825053 6667110433404 10000665650106 20001331300212