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332103323013 = 3721117101119617
BaseRepresentation
bin1001101010100101110…
…01101000110110000101
31011202012211222210212120
410311102321220312011
520420121422314023
6412322142440153
732664554445300
oct4652271506605
91152184883776
10332103323013
11118931739010
1254444893059
1325417ba6227
1412106a5db37
15898aca98e3
hex4d52e68d85

332103323013 has 96 divisors (see below), whose sum is σ = 600876620928. Its totient is φ = 160763904000.

The previous prime is 332103322963. The next prime is 332103323063. The reversal of 332103323013 is 310323301233.

It is an interprime number because it is at equal distance from previous prime (332103322963) and next prime (332103323063).

It is not a de Polignac number, because 332103323013 - 28 = 332103322757 is a prime.

It is a super-2 number, since 2×3321033230132 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332103323063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2716581 + ... + 2836197.

It is an arithmetic number, because the mean of its divisors is an integer number (6259131468).

Almost surely, 2332103323013 is an apocalyptic number.

332103323013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

332103323013 is a deficient number, since it is larger than the sum of its proper divisors (268773297915).

332103323013 is a wasteful number, since it uses less digits than its factorization.

332103323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119763 (or 119756 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 332103323013 its reverse (310323301233), we get a palindrome (642426624246).

The spelling of 332103323013 in words is "three hundred thirty-two billion, one hundred three million, three hundred twenty-three thousand, thirteen".

Divisors: 1 3 7 11 17 21 33 49 51 77 101 119 147 187 231 303 357 539 561 707 833 1111 1309 1617 1717 2121 2499 3333 3927 4949 5151 7777 9163 12019 14847 18887 23331 27489 36057 54439 56661 84133 119617 132209 163317 252399 358851 396627 837319 925463 1315787 2033489 2511957 2776389 3947361 5861233 6100467 9210509 12081317 14234423 17583699 22368379 27631527 36243951 42703269 64473563 67105137 84569219 99640961 132894487 156578653 193420689 205382389 253707657 298922883 398683461 469735959 591984533 616147167 930261409 1096050571 1437676723 1775953599 2259206279 2790784227 3288151713 4313030169 6511829863 6777618837 10063737061 15814443953 19535489589 30191211183 47443331859 110701107671 332103323013