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106023033 = 33171012287
BaseRepresentation
bin1100101000111…
…00100001111001
321101111112021000
412110130201321
5204120214113
614304235213
72425116024
oct624344171
9241445230
10106023033
1154935746
122b60bb09
1318c7212c
141011c1bb
159494373
hex651c879

106023033 has 32 divisors (see below), whose sum is σ = 168030720. Its totient is φ = 65836800.

The previous prime is 106022971. The next prime is 106023061. The reversal of 106023033 is 330320601.

It is a happy number.

106023033 is a `hidden beast` number, since 1 + 0 + 602 + 30 + 33 = 666.

It is not a de Polignac number, because 106023033 - 221 = 103925881 is a prime.

It is a super-2 number, since 2×1060230332 = 22481767053038178, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106022997 and 106023015.

It is not an unprimeable number, because it can be changed into a prime (106023133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45216 + ... + 47502.

It is an arithmetic number, because the mean of its divisors is an integer number (5250960).

Almost surely, 2106023033 is an apocalyptic number.

It is an amenable number.

106023033 is a deficient number, since it is larger than the sum of its proper divisors (62007687).

106023033 is a wasteful number, since it uses less digits than its factorization.

106023033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 106023033 is about 10296.7486615922. The cubic root of 106023033 is about 473.2966254127.

Adding to 106023033 its reverse (330320601), we get a palindrome (436343634).

The spelling of 106023033 in words is "one hundred six million, twenty-three thousand, thirty-three".

Divisors: 1 3 9 17 27 51 101 153 303 459 909 1717 2287 2727 5151 6861 15453 20583 38879 46359 61749 116637 230987 349911 692961 1049733 2078883 3926779 6236649 11780337 35341011 106023033