Search a number
-
+
332003322122320 = 2454150041526529
BaseRepresentation
bin100101101111101001000110…
…0000101000101000001010000
31121112112012121100122111101201
41023133102030011011001100
5322004020300430403240
63134040115353040544
7126634306552225222
oct11337221405050120
91545465540574351
10332003322122320
1196871900035aa2
12312a05749b6154
1311333a18434b84
145bdb09196a412
15285b27d0d7d9a
hex12df48c145050

332003322122320 has 20 divisors (see below), whose sum is σ = 771907723934580. Its totient is φ = 132801328848896.

The previous prime is 332003322122287. The next prime is 332003322122323. The reversal of 332003322122320 is 23221223300233.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 211631967475776 + 120371354646544 = 14547576^2 + 10971388^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×3320033221223202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332003322122323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2075020763185 + ... + 2075020763344.

It is an arithmetic number, because the mean of its divisors is an integer number (38595386196729).

Almost surely, 2332003322122320 is an apocalyptic number.

It is an amenable number.

332003322122320 is an abundant number, since it is smaller than the sum of its proper divisors (439904401812260).

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

332003322122320 is a wasteful number, since it uses less digits than its factorization.

332003322122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150041526542 (or 4150041526536 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 332003322122320 its reverse (23221223300233), we get a palindrome (355224545422553).

The spelling of 332003322122320 in words is "three hundred thirty-two trillion, three billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4150041526529 8300083053058 16600166106116 20750207632645 33200332212232 41500415265290 66400664424464 83000830530580 166001661061160 332003322122320