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23000133 = 31317113307
BaseRepresentation
bin101011110111…
…1010001000101
31121021112020210
41113233101011
521342001013
62140550033
7366332532
oct127572105
947245223
1023000133
1111a8a382
127852319
1349c3b60
1430a9d89
152044cc3
hex15ef445

23000133 has 32 divisors (see below), whose sum is σ = 35392896. Its totient is φ = 13160448.

The previous prime is 23000123. The next prime is 23000137. The reversal of 23000133 is 33100032.

It is a happy number.

It is not a de Polignac number, because 23000133 - 25 = 23000101 is a prime.

It is a super-2 number, since 2×230001332 = 1058012236035378, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74766 + ... + 75072.

It is an arithmetic number, because the mean of its divisors is an integer number (1106028).

Almost surely, 223000133 is an apocalyptic number.

It is an amenable number.

23000133 is a deficient number, since it is larger than the sum of its proper divisors (12392763).

23000133 is a wasteful number, since it uses less digits than its factorization.

23000133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 23000133 is about 4795.8453895012. The cubic root of 23000133 is about 284.3872461498.

Adding to 23000133 its reverse (33100032), we get a palindrome (56100165).

The spelling of 23000133 in words is "twenty-three million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 13 17 39 51 113 221 307 339 663 921 1469 1921 3991 4407 5219 5763 11973 15657 24973 34691 67847 74919 104073 203541 450983 589747 1352949 1769241 7666711 23000133