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332013112223211 = 33231634932701859
BaseRepresentation
bin100101101111101101101001…
…1100111010110010111101011
31121112120010212122110011002000
41023133123103213112113223
5322004200323212120321
63134044415040542043
7126635104300553346
oct11337332347262753
91545503778404060
10332013112223211
1196875a74316771
12312a2447621923
13113349187b0393
145bdb73dc9145d
15285b652833826
hex12df6d39d65eb

332013112223211 has 32 divisors (see below), whose sum is σ = 513288394560000. Its totient is φ = 211705549935264.

The previous prime is 332013112223209. The next prime is 332013112223251. The reversal of 332013112223211 is 112322211310233.

332013112223211 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 1 + 311 + 2 + 22 + 321 + 1 = 666.

It is not a de Polignac number, because 332013112223211 - 21 = 332013112223209 is a prime.

It is a super-2 number, since 2×3320131122232112 (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 not an unprimeable number, because it can be changed into a prime (332013112223251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6198201 + ... + 26503658.

It is an arithmetic number, because the mean of its divisors is an integer number (16040262330000).

Almost surely, 2332013112223211 is an apocalyptic number.

332013112223211 is a deficient number, since it is larger than the sum of its proper divisors (181275282336789).

332013112223211 is a wasteful number, since it uses less digits than its factorization.

332013112223211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32718240 (or 32718234 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 332013112223211 its reverse (112322211310233), we get a palindrome (444335323533444).

The spelling of 332013112223211 in words is "three hundred thirty-two trillion, thirteen billion, one hundred twelve million, two hundred twenty-three thousand, two hundred eleven".

Divisors: 1 3 9 23 27 69 207 621 16349 49047 147141 376027 441423 1128081 3384243 10152729 32701859 98105577 294316731 752142757 882950193 2256428271 6769284813 20307854439 534642692791 1603928078373 4811784235119 12296781934193 14435352705357 36890345802579 110671037407737 332013112223211