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332131012223003 = 71724132571229453
BaseRepresentation
bin100101110000100100100011…
…1000000001010000000011011
31121112222102012022002200211222
41023201021013000022000123
5322013113303112114003
63134214514115042255
7126646450050201230
oct11341110700120033
91545872168080758
10332131012223003
1196910a75842624
123130126bba038b
1311342a878a9776
145c0332634b787
15285e753271c38
hex12e124700a01b

332131012223003 has 48 divisors (see below), whose sum is σ = 413181641888064. Its totient is φ = 261322088079360.

The previous prime is 332131012222979. The next prime is 332131012223081. The reversal of 332131012223003 is 300322210131233.

It is not a de Polignac number, because 332131012223003 - 28 = 332131012222747 is a prime.

It is a super-2 number, since 2×3321310122230032 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332131012226003) 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 47 ways as a sum of consecutive naturals, for example, 269530625 + ... + 270760077.

It is an arithmetic number, because the mean of its divisors is an integer number (8607950872668).

Almost surely, 2332131012223003 is an apocalyptic number.

332131012223003 is a deficient number, since it is larger than the sum of its proper divisors (81050629665061).

332131012223003 is a wasteful number, since it uses less digits than its factorization.

332131012223003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232792 (or 1232775 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 332131012223003 its reverse (300322210131233), we get a palindrome (632453222354236).

The spelling of 332131012223003 in words is "three hundred thirty-two trillion, one hundred thirty-one billion, twelve million, two hundred twenty-three thousand, three".

Divisors: 1 7 17 41 119 287 289 697 2023 3257 4879 11849 22799 55369 82943 133537 387583 934759 941273 1229453 2270129 6588911 8606171 15890903 20900701 38592193 50407573 146304907 270145351 352853011 355311917 856928741 2487183419 4004328421 5998501187 14567788597 28030298947 68073583157 101974520179 164177465261 476515082099 1149242256827 1157250913669 2791016909437 8100756395683 19537118366059 47447287460429 332131012223003