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133003013 = 11136411451
BaseRepresentation
bin1111110110101…
…11011100000101
3100021021020211112
413323113130011
5233022044023
621110414405
73203335613
oct773273405
9307236745
10133003013
1169093150
1238661405
132172a610
14139426b3
15ba23478
hex7ed7705

133003013 has 16 divisors (see below), whose sum is σ = 156606912. Its totient is φ = 111360000.

The previous prime is 133003009. The next prime is 133003027. The reversal of 133003013 is 310300331.

It is a cyclic number.

It is not a de Polignac number, because 133003013 - 22 = 133003009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133003063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90938 + ... + 92388.

It is an arithmetic number, because the mean of its divisors is an integer number (9787932).

Almost surely, 2133003013 is an apocalyptic number.

133003013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133003013 is a deficient number, since it is larger than the sum of its proper divisors (23603899).

133003013 is a wasteful number, since it uses less digits than its factorization.

133003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116.

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 133003013 is about 11532.6932240479. The cubic root of 133003013 is about 510.4507267485.

Adding to 133003013 its reverse (310300331), we get a palindrome (443303344).

The spelling of 133003013 in words is "one hundred thirty-three million, three thousand, thirteen".

Divisors: 1 11 13 143 641 1451 7051 8333 15961 18863 91663 207493 930091 10231001 12091183 133003013