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133032031 = 1149124631
BaseRepresentation
bin1111110110111…
…10100001011111
3100021022201122021
413323132201133
5233024011111
621111201011
73203516326
oct773364137
9307281567
10133032031
1169102a30
1238676167
132173a8a2
141394d0bd
15ba2bd71
hex7ede85f

133032031 has 8 divisors (see below), whose sum is σ = 145427328. Its totient is φ = 120687000.

The previous prime is 133032017. The next prime is 133032037. The reversal of 133032031 is 130230331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133032031 - 25 = 133031999 is a prime.

It is a super-2 number, since 2×1330320312 = 35395042543969922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133031996 and 133032014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133032037) 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 7 ways as a sum of consecutive naturals, for example, 6915 + ... + 17716.

It is an arithmetic number, because the mean of its divisors is an integer number (18178416).

Almost surely, 2133032031 is an apocalyptic number.

133032031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133032031 is a deficient number, since it is larger than the sum of its proper divisors (12395297).

133032031 is a wasteful number, since it uses less digits than its factorization.

133032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25133.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 133032031 is about 11533.9512310396. The cubic root of 133032031 is about 510.4878466648.

Adding to 133032031 its reverse (130230331), we get a palindrome (263262362).

The spelling of 133032031 in words is "one hundred thirty-three million, thirty-two thousand, thirty-one".

Divisors: 1 11 491 5401 24631 270941 12093821 133032031