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332120332221 = 329101139927017
BaseRepresentation
bin1001101010100111110…
…10100001011110111101
31011202021000222222010020
410311103322201132331
520420140301112341
6412323551202353
732665152146646
oct4652372413675
91152230888106
10332120332221
111189402a6307
125444a5163b9
132541b580252
141210900a6cd
15898c519566
hex4d53ea17bd

332120332221 has 32 divisors (see below), whose sum is σ = 462980448000. Its totient is φ = 211502860800.

The previous prime is 332120332171. The next prime is 332120332223. The reversal of 332120332221 is 122233021233.

It is not a de Polignac number, because 332120332221 - 26 = 332120332157 is a prime.

It is a super-2 number, since 2×3321203322212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332120332191 and 332120332200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332120332223) 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 31 ways as a sum of consecutive naturals, for example, 12279505 + ... + 12306521.

It is an arithmetic number, because the mean of its divisors is an integer number (14468139000).

Almost surely, 2332120332221 is an apocalyptic number.

It is an amenable number.

332120332221 is a deficient number, since it is larger than the sum of its proper divisors (130860115779).

332120332221 is a wasteful number, since it uses less digits than its factorization.

332120332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28549.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 332120332221 its reverse (122233021233), we get a palindrome (454353353454).

The spelling of 332120332221 in words is "three hundred thirty-two billion, one hundred twenty million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 29 87 101 303 1399 2929 4197 8787 27017 40571 81051 121713 141299 423897 783493 2350479 2728717 4097671 8186151 12293013 37796783 79132793 113390349 237398379 1096106707 3288320121 3817475083 11452425249 110706777407 332120332221