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331145133 = 31144922349
BaseRepresentation
bin10011101111001…
…101111110101101
3212002002220201120
4103233031332231
51134233121013
652505331153
711130454464
oct2357157655
9762086646
10331145133
1115aa17270
1292a96ab9
13537b4087
1431d9d9db
151e112123
hex13bcdfad

331145133 has 16 divisors (see below), whose sum is σ = 482760000. Its totient is φ = 200238080.

The previous prime is 331145123. The next prime is 331145137. The reversal of 331145133 is 331541133.

It is a cyclic number.

It is not a de Polignac number, because 331145133 - 218 = 330882989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331145137) 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, 3643 + ... + 25991.

It is an arithmetic number, because the mean of its divisors is an integer number (30172500).

Almost surely, 2331145133 is an apocalyptic number.

331145133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331145133 is a deficient number, since it is larger than the sum of its proper divisors (151614867).

331145133 is a wasteful number, since it uses less digits than its factorization.

331145133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22812.

The product of its digits is 1620, while the sum is 24.

The square root of 331145133 is about 18197.3935771033. The cubic root of 331145133 is about 691.8407288510.

Adding to 331145133 its reverse (331541133), we get a palindrome (662686266).

The spelling of 331145133 in words is "three hundred thirty-one million, one hundred forty-five thousand, one hundred thirty-three".

Divisors: 1 3 11 33 449 1347 4939 14817 22349 67047 245839 737517 10034701 30104103 110381711 331145133