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33033431041 = 132296740141
BaseRepresentation
bin11110110000111100…
…100010100000000001
310011021011020011110221
4132300330202200001
51020123024243131
623101513023041
72246412350062
oct366074424001
9104234204427
1033033431041
1113011568736
12649a9b4a81
133165983200
141855274569
15cd50c3411
hex7b0f22801

33033431041 has 12 divisors (see below), whose sum is σ = 37003379580. Its totient is φ = 29440931520.

The previous prime is 33033431009. The next prime is 33033431047. The reversal of 33033431041 is 14013433033.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 98803600 + 32934627441 = 9940^2 + 181479^2 .

It is not a de Polignac number, because 33033431041 - 25 = 33033431009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33033430997 and 33033431015.

It is not an unprimeable number, because it can be changed into a prime (33033431047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3365170 + ... + 3374971.

It is an arithmetic number, because the mean of its divisors is an integer number (3083614965).

Almost surely, 233033431041 is an apocalyptic number.

It is an amenable number.

33033431041 is a deficient number, since it is larger than the sum of its proper divisors (3969948539).

33033431041 is a wasteful number, since it uses less digits than its factorization.

33033431041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740196 (or 6740183 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 33033431041 its reverse (14013433033), we get a palindrome (47046864074).

The spelling of 33033431041 in words is "thirty-three billion, thirty-three million, four hundred thirty-one thousand, forty-one".

Divisors: 1 13 29 169 377 4901 6740141 87621833 195464089 1139083829 2541033157 33033431041