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20000133 = 3223531823
BaseRepresentation
bin100110001001…
…0110110000101
31101122010000200
41030102312011
520110001013
61552401113
7331666266
oct114226605
941563020
1020000133
111032043a
126846199
1341b34ca
14292896d
151b50e73
hex1312d85

20000133 has 24 divisors (see below), whose sum is σ = 30730752. Its totient is φ = 12506208.

The previous prime is 20000107. The next prime is 20000147. The reversal of 20000133 is 33100002.

It is a happy number.

It is not a de Polignac number, because 20000133 - 26 = 20000069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10060 + ... + 11882.

It is an arithmetic number, because the mean of its divisors is an integer number (1280448).

Almost surely, 220000133 is an apocalyptic number.

20000133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20000133 is a deficient number, since it is larger than the sum of its proper divisors (10730619).

20000133 is a wasteful number, since it uses less digits than its factorization.

20000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 20000133 is about 4472.1508248269. The cubic root of 20000133 is about 271.4423633541.

Adding to 20000133 its reverse (33100002), we get a palindrome (53100135).

The spelling of 20000133 in words is "twenty million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 9 23 53 69 159 207 477 1219 1823 3657 5469 10971 16407 41929 96619 125787 289857 377361 869571 2222237 6666711 20000133