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1021200120006 = 231126972477937
BaseRepresentation
bin11101101110001000100…
…01010011100011000110
310121121220012012002212220
432313010101103203012
5113212404212320011
62101044410353210
7133531201541043
oct16670421234306
93547805162786
101021200120006
113640a7932930
12145ab9a2b806
13753b64aa451
14375d7c901ca
151b86ca43506
hexedc44538c6

1021200120006 has 64 divisors (see below), whose sum is σ = 2236946181120. Its totient is φ = 308222812160.

The previous prime is 1021200120001. The next prime is 1021200120019. The reversal of 1021200120006 is 6000210021201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021200120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128659270 + ... + 128667206.

It is an arithmetic number, because the mean of its divisors is an integer number (34952284080).

Almost surely, 21021200120006 is an apocalyptic number.

1021200120006 is an abundant number, since it is smaller than the sum of its proper divisors (1215746061114).

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

1021200120006 is a wasteful number, since it uses less digits than its factorization.

1021200120006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15469.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1021200120006 its reverse (6000210021201), we get a palindrome (7021410141207).

The spelling of 1021200120006 in words is "one trillion, twenty-one billion, two hundred million, one hundred twenty thousand, six".

Divisors: 1 2 3 6 11 22 33 66 269 538 807 1614 2959 5918 7247 7937 8877 14494 15874 17754 21741 23811 43482 47622 79717 87307 159434 174614 239151 261921 478302 523842 1949443 2135053 3898886 4270106 5848329 6405159 11696658 12810318 21443873 23485583 42887746 46971166 57519439 64331619 70456749 115038878 128663238 140913498 172558317 345116634 632713829 1265427658 1898141487 3796282974 15472729091 30945458182 46418187273 92836374546 170200020001 340400040002 510600060003 1021200120006