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3201331302114 = 23111091289345229
BaseRepresentation
bin101110100101011110001…
…101110000111011100010
3102100001012021122010010020
4232211132031300323202
5404422311303131424
610450401000014310
7450200655042261
oct56453615607342
912301167563106
103201331302114
11102474a074960
12438533461396
131a2b658c68ba
14b0d33b265d8
15584199dd079
hex2e95e370ee2

3201331302114 has 64 divisors (see below), whose sum is σ = 7054291728000. Its totient is φ = 960451914240.

The previous prime is 3201331302089. The next prime is 3201331302149. The reversal of 3201331302114 is 4112031331023.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9100452 + ... + 9445680.

It is an arithmetic number, because the mean of its divisors is an integer number (110223308250).

Almost surely, 23201331302114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201331302114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527145864000).

3201331302114 is an abundant number, since it is smaller than the sum of its proper divisors (3852960425886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3201331302114 is a wasteful number, since it uses less digits than its factorization.

3201331302114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346643.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3201331302114 its reverse (4112031331023), we get a palindrome (7313362633137).

The spelling of 3201331302114 in words is "three trillion, two hundred one billion, three hundred thirty-one million, three hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 109 218 327 654 1199 1289 2398 2578 3597 3867 7194 7734 14179 28358 42537 85074 140501 281002 345229 421503 690458 843006 1035687 1545511 2071374 3091022 3797519 4636533 7595038 9273066 11392557 22785114 37629961 75259922 112889883 225779766 413929571 445000181 827859142 890000362 1241788713 1335000543 2483577426 2670001086 4895001991 9790003982 14685005973 29370011946 48505019729 97010039458 145515059187 291030118374 533555217019 1067110434038 1600665651057 3201331302114