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331121133 = 32723228517
BaseRepresentation
bin10011101111001…
…000000111101101
3212002001200210200
4103233020013231
51134231334013
652505024113
711130324510
oct2357100755
9762050720
10331121133
1115aa00232
1292a85039
13537a6185
1431d94d77
151e109e73
hex13bc81ed

331121133 has 24 divisors (see below), whose sum is σ = 570380928. Its totient is φ = 180984672.

The previous prime is 331121129. The next prime is 331121143.

It is a happy number.

331121133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331121133 - 22 = 331121129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331121143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112810 + ... + 115707.

It is an arithmetic number, because the mean of its divisors is an integer number (23765872).

Almost surely, 2331121133 is an apocalyptic number.

It is an amenable number.

331121133 is a deficient number, since it is larger than the sum of its proper divisors (239259795).

331121133 is a wasteful number, since it uses less digits than its factorization.

331121133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228553 (or 228550 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 331121133 is about 18196.7341300575. The cubic root of 331121133 is about 691.8240145496.

The spelling of 331121133 in words is "three hundred thirty-one million, one hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 228517 685551 1599619 2056653 4798857 5255891 14396571 15767673 36791237 47303019 110373711 331121133