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133013013 = 3711515503
BaseRepresentation
bin1111110110110…
…01111000010101
3100021021202112220
413323121320111
5233022404023
621110532553
73203410020
oct773317025
9307252486
10133013013
116909a711
1238667159
1321732033
14139461b7
15ba263e3
hex7ed9e15

133013013 has 16 divisors (see below), whose sum is σ = 202899456. Its totient is φ = 75927600.

The previous prime is 133013009. The next prime is 133013029. The reversal of 133013013 is 310310331.

It is not a de Polignac number, because 133013013 - 22 = 133013009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133012983 and 133013001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133013003) 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, 21420 + ... + 26922.

It is an arithmetic number, because the mean of its divisors is an integer number (12681216).

Almost surely, 2133013013 is an apocalyptic number.

It is an amenable number.

133013013 is a deficient number, since it is larger than the sum of its proper divisors (69886443).

133013013 is a wasteful number, since it uses less digits than its factorization.

133013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 133013013 is about 11533.1267659729. The cubic root of 133013013 is about 510.4635193894.

Adding to 133013013 its reverse (310310331), we get a palindrome (443323344).

The spelling of 133013013 in words is "one hundred thirty-three million, thirteen thousand, thirteen".

Divisors: 1 3 7 21 1151 3453 5503 8057 16509 24171 38521 115563 6333953 19001859 44337671 133013013