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1002101002002 = 233457108737357
BaseRepresentation
bin11101001010100011101…
…11111100111100010010
310112210121010211101102000
432211101313330330102
5112404300324031002
62044205302134430
7132253665655212
oct16452167747422
93483533741360
101002101002002
11356a96988891
12142269721416
13736616477a9
14367054b4242
151b100e2a61c
hexe951dfcf12

1002101002002 has 64 divisors (see below), whose sum is σ = 2233876899840. Its totient is φ = 332987200128.

The previous prime is 1002101001961. The next prime is 1002101002013. The reversal of 1002101002002 is 2002001012001.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 31 ways as a sum of consecutive naturals, for example, 26806308 + ... + 26843664.

It is an arithmetic number, because the mean of its divisors is an integer number (34904326560).

Almost surely, 21002101002002 is an apocalyptic number.

1002101002002 is an abundant number, since it is smaller than the sum of its proper divisors (1231775897838).

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

1002101002002 is a wasteful number, since it uses less digits than its factorization.

1002101002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38912 (or 38906 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002101002002 its reverse (2002001012001), we get a palindrome (3004102014003).

Subtracting 1002101002002 from its reverse (2002001012001), we obtain a palindrome (999900009999).

The spelling of 1002101002002 in words is "one trillion, two billion, one hundred one million, two thousand, two".

Divisors: 1 2 3 6 9 18 27 54 457 914 1087 1371 2174 2742 3261 4113 6522 8226 9783 12339 19566 24678 29349 37357 58698 74714 112071 224142 336213 496759 672426 993518 1008639 1490277 2017278 2980554 4470831 8941662 13412493 17072149 26824986 34144298 40607059 51216447 81214118 102432894 121821177 153649341 243642354 307298682 365463531 460948023 730927062 921896046 1096390593 2192781186 18557425963 37114851926 55672277889 111344555778 167016833667 334033667334 501050501001 1002101002002