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331013123233 = 13138118437761
BaseRepresentation
bin1001101000100011110…
…10110110110010100001
31011122101212120220220221
410310101322312302201
520410403324420413
6412022040003041
732625546060262
oct4642172666241
91148355526827
10331013123233
11118422307861
125419b760481
13252a30771c0
1412041d52969
15892520c68d
hex4d11eb6ca1

331013123233 has 8 divisors (see below), whose sum is σ = 356733819176. Its totient is φ = 305329305600.

The previous prime is 331013123197. The next prime is 331013123249. The reversal of 331013123233 is 332321310133.

It can be written as a sum of positive squares in 4 ways, for example, as 4272844689 + 326740278544 = 65367^2 + 571612^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331013123233 - 29 = 331013122721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331013123198 and 331013123207.

It is not an unprimeable number, because it can be changed into a prime (331013123293) 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 7 ways as a sum of consecutive naturals, for example, 9200928 + ... + 9236833.

It is an arithmetic number, because the mean of its divisors is an integer number (44591727397).

Almost surely, 2331013123233 is an apocalyptic number.

It is an amenable number.

331013123233 is a deficient number, since it is larger than the sum of its proper divisors (25720695943).

331013123233 is a wasteful number, since it uses less digits than its factorization.

331013123233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18439155.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 331013123233 its reverse (332321310133), we get a palindrome (663334433366).

The spelling of 331013123233 in words is "three hundred thirty-one billion, thirteen million, one hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 13 1381 17953 18437761 239690893 25462547941 331013123233