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1021210012008 = 233229094875721
BaseRepresentation
bin11101101110001001101…
…11000010100101101000
310121121220212210200011100
432313010313002211220
5113212414230341013
62101045402401400
7133531351610514
oct16670467024550
93547825720140
101021210012008
1136410247993a
12145b01200260
13753b8561ac4
14375d9307144
151b86d849473
hexedc4dc2968

1021210012008 has 48 divisors (see below), whose sum is σ = 2766728448900. Its totient is φ = 340286250240.

The previous prime is 1021210012003. The next prime is 1021210012019. The reversal of 1021210012008 is 8002100121201.

1021210012008 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 775037251044 + 246172760964 = 880362^2 + 496158^2 .

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 (1021210012001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2228413 + ... + 2647308.

Almost surely, 21021210012008 is an apocalyptic number.

1021210012008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1021210012008 is an abundant number, since it is smaller than the sum of its proper divisors (1745518436892).

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

1021210012008 is a wasteful number, since it uses less digits than its factorization.

1021210012008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878642 (or 4878635 counting only the distinct ones).

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

Adding to 1021210012008 its reverse (8002100121201), we get a palindrome (9023310133209).

The spelling of 1021210012008 in words is "one trillion, twenty-one billion, two hundred ten million, twelve thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2909 5818 8727 11636 17454 23272 26181 34908 52362 69816 104724 209448 4875721 9751442 14627163 19502884 29254326 39005768 43881489 58508652 87762978 117017304 175525956 351051912 14183472389 28366944778 42550417167 56733889556 85100834334 113467779112 127651251501 170201668668 255302503002 340403337336 510605006004 1021210012008