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332312112003213 = 33412518631385843
BaseRepresentation
bin100101110001111000111000…
…1011000111111100010001101
31121120121201122110021201221000
41023203301301120333202031
5322024100201133100323
63134434024323530513
7126665520632010516
oct11343616130774215
91546551573251830
10332312112003213
1196980858959971
1231330391b29a39
1311356b89325924
145c0bdc6229a0d
1528643022bae43
hex12e3c7163f88d

332312112003213 has 64 divisors (see below), whose sum is σ = 506918231285760. Its totient is φ = 215027244720000.

The previous prime is 332312112003149. The next prime is 332312112003227. The reversal of 332312112003213 is 312300211213233.

332312112003213 is a `hidden beast` number, since 3 + 3 + 2 + 31 + 211 + 200 + 3 + 213 = 666.

It is not a de Polignac number, because 332312112003213 - 26 = 332312112003149 is a prime.

It is a super-2 number, since 2×3323121120032132 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332312112003293) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239097670 + ... + 240483512.

It is an arithmetic number, because the mean of its divisors is an integer number (7920597363840).

Almost surely, 2332312112003213 is an apocalyptic number.

It is an amenable number.

332312112003213 is a deficient number, since it is larger than the sum of its proper divisors (174606119282547).

332312112003213 is a wasteful number, since it uses less digits than its factorization.

332312112003213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387007 (or 1387001 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 332312112003213 its reverse (312300211213233), we get a palindrome (644612323216446).

The spelling of 332312112003213 in words is "three hundred thirty-two trillion, three hundred twelve billion, one hundred twelve million, three thousand, two hundred thirteen".

Divisors: 1 3 9 27 41 123 251 369 753 863 1107 2259 2589 6777 7767 10291 23301 30873 35383 92619 106149 216613 277857 318447 649839 955341 1385843 1949517 4157529 5848551 8881133 12472587 26643399 37417761 56819563 79930197 170458689 239790591 347846593 511376067 1043539779 1195982509 1534128201 3130619337 3587947527 9391858011 10763842581 14261710313 32291527743 42785130939 49035282869 128355392817 147105848607 300191609759 385066178451 441317545821 900574829277 1323952637463 2701724487831 8105173463493 12307856000119 36923568000357 110770704001071 332312112003213