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1000003332213 = 321921313736299
BaseRepresentation
bin11101000110101001101…
…01111110100001110101
310112121011221200201102100
432203110311332201311
5112341001323112323
62043221205532313
7132151005034644
oct16432465764165
93477157621370
101000003332213
1135610a8a1496
12141983114099
13733b8b94472
1436586a7335b
151b02bbc3943
hexe8d4d7e875

1000003332213 has 72 divisors (see below), whose sum is σ = 1540474135200. Its totient is φ = 624980266560.

The previous prime is 1000003332161. The next prime is 1000003332247. The reversal of 1000003332213 is 3122333000001.

It is not a de Polignac number, because 1000003332213 - 228 = 999734896757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000003333213) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 158752738 + ... + 158759036.

It is an arithmetic number, because the mean of its divisors is an integer number (21395474100).

Almost surely, 21000003332213 is an apocalyptic number.

It is an amenable number.

1000003332213 is a deficient number, since it is larger than the sum of its proper divisors (540470802987).

1000003332213 is a wasteful number, since it uses less digits than its factorization.

1000003332213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6847 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1000003332213 its reverse (3122333000001), we get a palindrome (4122336332214).

The spelling of 1000003332213 in words is "one trillion, three million, three hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 9 19 57 131 171 361 373 393 1083 1119 1179 2489 3249 3357 6299 7087 7467 18897 21261 22401 47291 48863 56691 63783 119681 134653 141873 146589 359043 403959 425619 439767 825169 928397 1077129 1211877 2273939 2349527 2475507 2785191 6821817 7048581 7426521 8355573 15678211 17639543 20465451 21145743 44641013 47034633 52918629 133923039 141103899 158755887 297886009 307788037 401769117 848179247 893658027 923364111 2544537741 2680974081 2770092333 5847972703 7633613223 17543918109 52631754327 111111481357 333334444071 1000003332213