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331332122033 = 11149809324979
BaseRepresentation
bin1001101001001001110…
…11101111010110110001
31011200020002211202000022
410310210323233112301
520412032010401113
6412113433133225
732636501366033
oct4644473572661
91150202752008
10331332122033
11118576388330
125426a55a215
13253241977a3
141207246dc53
158943220908
hex4d24eef5b1

331332122033 has 16 divisors (see below), whose sum is σ = 363938616000. Its totient is φ = 299140524480.

The previous prime is 331332122021. The next prime is 331332122047. The reversal of 331332122033 is 330221233133.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 331332122033 - 28 = 331332121777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331332121993 and 331332122011.

It is not an unprimeable number, because it can be changed into a prime (331332122333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13251938 + ... + 13276916.

It is an arithmetic number, because the mean of its divisors is an integer number (22746163500).

Almost surely, 2331332122033 is an apocalyptic number.

It is an amenable number.

331332122033 is a deficient number, since it is larger than the sum of its proper divisors (32606493967).

331332122033 is a wasteful number, since it uses less digits than its factorization.

331332122033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33232.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 331332122033 its reverse (330221233133), we get a palindrome (661553355166).

Subtracting from 331332122033 its reverse (330221233133), we obtain a square (1110888900 = 333302).

The spelling of 331332122033 in words is "three hundred thirty-one billion, three hundred thirty-two million, one hundred twenty-two thousand, thirty-three".

Divisors: 1 11 149 1639 8093 24979 89023 274769 1205857 3721871 13264427 40940581 202155047 2223705517 30121102003 331332122033