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1003211030133 = 331322312816821
BaseRepresentation
bin11101001100101000000…
…10010111111001110101
310112220110111112122202000
432212110002113321311
5112414034010431013
62044511354005513
7132323335025634
oct16462402277165
93486414478660
101003211030133
11357506522404
12142519416899
13737aa5c9a80
14367acaa351b
151b1685e2973
hexe994097e75

1003211030133 has 32 divisors (see below), whose sum is σ = 1607742151680. Its totient is φ = 614592152640.

The previous prime is 1003211030111. The next prime is 1003211030141. The reversal of 1003211030133 is 3310301123001.

It is a happy number.

1003211030133 is a `hidden beast` number, since 1 + 0 + 0 + 321 + 10 + 301 + 33 = 666.

It is not a de Polignac number, because 1003211030133 - 213 = 1003211021941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003211030153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6330138 + ... + 6486683.

It is an arithmetic number, because the mean of its divisors is an integer number (50241942240).

Almost surely, 21003211030133 is an apocalyptic number.

1003211030133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1003211030133 is a deficient number, since it is larger than the sum of its proper divisors (604531121547).

1003211030133 is a wasteful number, since it uses less digits than its factorization.

1003211030133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12817066 (or 12817060 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1003211030133 its reverse (3310301123001), we get a palindrome (4313512153134).

The spelling of 1003211030133 in words is "one trillion, three billion, two hundred eleven million, thirty thousand, one hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 223 351 669 2007 2899 6021 8697 26091 78273 12816821 38450463 115351389 166618673 346054167 499856019 1499568057 2858151083 4498704171 8574453249 25723359747 37155964079 77170079241 111467892237 334403676711 1003211030133