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1003011333401 = 72111997940761
BaseRepresentation
bin11101001100010000010…
…00100101110100011001
310112212221120210000022202
432212020020211310121
5112413131400132101
62044435501455545
7132315361443500
oct16461010456431
93485846700282
101003011333401
11357413827290
121424825715b5
137377811a81c
143679035d837
151b155ce836b
hexe988225d19

1003011333401 has 24 divisors (see below), whose sum is σ = 1339829624160. Its totient is φ = 740432145600.

The previous prime is 1003011333377. The next prime is 1003011333413. The reversal of 1003011333401 is 1043331103001.

It is a de Polignac number, because none of the positive numbers 2k-1003011333401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003011333431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48960140 + ... + 48980621.

It is an arithmetic number, because the mean of its divisors is an integer number (55826234340).

Almost surely, 21003011333401 is an apocalyptic number.

1003011333401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003011333401 is a deficient number, since it is larger than the sum of its proper divisors (336818290759).

1003011333401 is a wasteful number, since it uses less digits than its factorization.

1003011333401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97940805 (or 97940798 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1003011333401 its reverse (1043331103001), we get a palindrome (2046342436402).

The spelling of 1003011333401 in words is "one trillion, three billion, eleven million, three hundred thirty-three thousand, four hundred one".

Divisors: 1 7 11 19 49 77 133 209 539 931 1463 10241 97940761 685585327 1077348371 1860874459 4799097289 7541438597 13026121213 20469619049 52790070179 91182848491 143287333343 1003011333401