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1002222222001 = 711213175354123
BaseRepresentation
bin11101001010110010001…
…10010111101010110001
310112210220120220222222121
432211121012113222301
5112410022342101001
62044225312234241
7132260000220250
oct16453106275261
93483816828877
101002222222001
11357049353200
121422a223b981
13736807aaac0
143671762a797
151b10b8c26a1
hexe959197ab1

1002222222001 has 48 divisors (see below), whose sum is σ = 1435590559872. Its totient is φ = 678474339840.

The previous prime is 1002222221989. The next prime is 1002222222041.

1002222222001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1002222222001 - 211 = 1002222219953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002222222041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2489875 + ... + 2864248.

It is an arithmetic number, because the mean of its divisors is an integer number (29908136664).

Almost surely, 21002222222001 is an apocalyptic number.

1002222222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002222222001 is a deficient number, since it is larger than the sum of its proper divisors (433368337871).

1002222222001 is a wasteful number, since it uses less digits than its factorization.

1002222222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354182 (or 5354171 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The spelling of 1002222222001 in words is "one trillion, two billion, two hundred twenty-two million, two hundred twenty-two thousand, one".

Divisors: 1 7 11 13 17 77 91 119 121 143 187 221 847 1001 1309 1547 1573 2057 2431 11011 14399 17017 26741 187187 5354123 37478861 58895353 69603599 91020091 412267471 487225193 637140637 647848883 765639589 1001221001 1183261183 4534942181 5359477123 7008547007 8282828281 8422035479 11013431011 13015873013 58954248353 77094017077 91111111091 143174603143 1002222222001