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2332332113301 = 3431790833513
BaseRepresentation
bin100001111100001001110…
…100111011110110010101
322020222011020100102010000
4201330021310323312111
5301203104010111201
64543243015321513
7330335235600411
oct41741164736625
98228136312100
102332332113301
1181a155746383
12318031380299
1313bc26965068
1480c57a67d41
1540a08dcbd86
hex21f09d3bd95

2332332113301 has 20 divisors (see below), whose sum is σ = 3495091951692. Its totient is φ = 1549983048768.

The previous prime is 2332332113239. The next prime is 2332332113303. The reversal of 2332332113301 is 1033112332332.

2332332113301 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 3 + 321 + 1 + 330 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 308968110801 + 2023364002500 = 555849^2 + 1422450^2 .

It is not a de Polignac number, because 2332332113301 - 213 = 2332332105109 is a prime.

It is a super-2 number, since 2×23323321133012 (a number of 26 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 (2332332113303) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 45391080 + ... + 45442433.

Almost surely, 22332332113301 is an apocalyptic number.

It is an amenable number.

2332332113301 is a deficient number, since it is larger than the sum of its proper divisors (1162759838391).

2332332113301 is an equidigital number, since it uses as much as digits as its factorization.

2332332113301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90833842 (or 90833833 counting only the distinct ones).

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

Adding to 2332332113301 its reverse (1033112332332), we get a palindrome (3365444445633).

The spelling of 2332332113301 in words is "two trillion, three hundred thirty-two billion, three hundred thirty-two million, one hundred thirteen thousand, three hundred one".

Divisors: 1 3 9 27 81 317 951 2853 8559 25677 90833513 272500539 817501617 2452504851 7357514553 28794223621 86382670863 259148012589 777444037767 2332332113301