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332213123331 = 33371285325873
BaseRepresentation
bin1001101010110010111…
…00011111100100000011
31011202111111121020121000
410311121130133210003
520420333024421311
6412341104103043
733000356645655
oct4653134374403
91152444536530
10332213123331
11118988713681
1254475604a83
132543486b72b
14121174826d5
158995748056
hex4d5971f903

332213123331 has 32 divisors (see below), whose sum is σ = 505528281920. Its totient is φ = 215464499712.

The previous prime is 332213123317. The next prime is 332213123339. The reversal of 332213123331 is 133321312233.

332213123331 is a `hidden beast` number, since 3 + 322 + 1 + 3 + 1 + 2 + 3 + 331 = 666.

It is not a de Polignac number, because 332213123331 - 26 = 332213123267 is a prime.

It is a super-2 number, since 2×3322131233312 (a number of 24 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 332213123295 and 332213123304.

It is not an unprimeable number, because it can be changed into a prime (332213123339) 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, 12827211 + ... + 12853083.

It is an arithmetic number, because the mean of its divisors is an integer number (15797758810).

Almost surely, 2332213123331 is an apocalyptic number.

332213123331 is a deficient number, since it is larger than the sum of its proper divisors (173315158589).

332213123331 is a wasteful number, since it uses less digits than its factorization.

332213123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38772 (or 38766 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 332213123331 its reverse (133321312233), we get a palindrome (465534435564).

The spelling of 332213123331 in words is "three hundred thirty-two billion, two hundred thirteen million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 999 12853 25873 38559 77619 115677 232857 347031 475561 698571 957301 1426683 2871903 4280049 8615709 12840147 25847127 332545669 997637007 2992911021 8978733063 12304189753 36912569259 110737707777 332213123331