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331201000233 = 3236800111137
BaseRepresentation
bin1001101000111010001…
…11100011001100101001
31011122212222010001201100
410310131013203030221
520411244424001413
6412052430512013
732633320023525
oct4643507431451
91148788101640
10331201000233
1111850936a604
1254232665609
1325302c7851c
141205cc9ad85
15893696ea73
hex4d1d1e3329

331201000233 has 6 divisors (see below), whose sum is σ = 478401444794. Its totient is φ = 220800666816.

The previous prime is 331201000211. The next prime is 331201000261. The reversal of 331201000233 is 332000102133.

331201000233 is a `hidden beast` number, since 331 + 2 + 0 + 100 + 0 + 233 = 666.

It can be written as a sum of positive squares in only one way, i.e., 311367348009 + 19833652224 = 558003^2 + 140832^2 .

It is not a de Polignac number, because 331201000233 - 213 = 331200992041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331201000633) 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 5 ways as a sum of consecutive naturals, for example, 18400055560 + ... + 18400055577.

Almost surely, 2331201000233 is an apocalyptic number.

It is an amenable number.

331201000233 is a deficient number, since it is larger than the sum of its proper divisors (147200444561).

331201000233 is a wasteful number, since it uses less digits than its factorization.

331201000233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36800111143 (or 36800111140 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 331201000233 its reverse (332000102133), we get a palindrome (663201102366).

The spelling of 331201000233 in words is "three hundred thirty-one billion, two hundred one million, two hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 9 36800111137 110400333411 331201000233