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332033121101331 = 33136714599677077
BaseRepresentation
bin100101101111110110111110…
…0001111001010011000010011
31121112122001112002200110211000
41023133231330033022120103
5322010012313000220311
63134101524324353043
7126636413161325106
oct11337557417123023
91545561462613730
10332033121101331
1196883501859a81
12312a62b0545783
1311336786c76030
145bdc6bb40873d
15285be24255056
hex12dfb7c3ca613

332033121101331 has 64 divisors (see below), whose sum is σ = 538014570150400. Its totient is φ = 201140424574848.

The previous prime is 332033121101327. The next prime is 332033121101333. The reversal of 332033121101331 is 133101121330233.

332033121101331 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 3 + 312 + 1 + 10 + 1 + 331 = 666.

It is not a de Polignac number, because 332033121101331 - 22 = 332033121101327 is a prime.

It is a super-2 number, since 2×3320331211013312 (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 junction number, because it is equal to n+sod(n) for n = 332033121101295 and 332033121101304.

It is not an unprimeable number, because it can be changed into a prime (332033121101333) 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, 29472765 + ... + 39149841.

It is an arithmetic number, because the mean of its divisors is an integer number (8406477658600).

Almost surely, 2332033121101331 is an apocalyptic number.

332033121101331 is a deficient number, since it is larger than the sum of its proper divisors (205981449049069).

332033121101331 is a wasteful number, since it uses less digits than its factorization.

332033121101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9678625 (or 9678619 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 332033121101331 its reverse (133101121330233), we get a palindrome (465134242431564).

The spelling of 332033121101331 in words is "three hundred thirty-two trillion, thirty-three billion, one hundred twenty-one million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 13 27 39 67 117 201 351 603 871 1459 1809 2613 4377 7839 13131 18967 23517 39393 56901 97753 170703 293259 512109 879777 1270789 2639331 3812367 9677077 11437101 29031231 34311303 87093693 125802001 261281079 377406003 648364159 1132218009 1945092477 3396654027 5835277431 8428734067 14118855343 17505832293 25286202201 42356566029 75858606603 127069698087 183545119459 227575819809 381209094261 550635358377 945963307981 1651906075131 2837889923943 4955718225393 8513669771829 12297523003753 25541009315487 36892569011259 110677707033777 332033121101331