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104023233 = 32192101317
BaseRepresentation
bin1100011001101…
…00010011000001
321020201221001100
412030310103001
5203112220413
614153325013
72402116506
oct614642301
9236657040
10104023233
115379a216
122aa06769
1318721b12
14db5b4ad
1591eba73
hex63344c1

104023233 has 36 divisors (see below), whose sum is σ = 160655508. Its totient is φ = 64843200.

The previous prime is 104023229. The next prime is 104023237. The reversal of 104023233 is 332320401.

It is an interprime number because it is at equal distance from previous prime (104023229) and next prime (104023237).

It can be written as a sum of positive squares in 2 ways, for example, as 54066609 + 49956624 = 7353^2 + 7068^2 .

It is not a de Polignac number, because 104023233 - 22 = 104023229 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104023237) 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 35 ways as a sum of consecutive naturals, for example, 327991 + ... + 328307.

It is an arithmetic number, because the mean of its divisors is an integer number (4462653).

Almost surely, 2104023233 is an apocalyptic number.

It is an amenable number.

104023233 is a deficient number, since it is larger than the sum of its proper divisors (56632275).

104023233 is a wasteful number, since it uses less digits than its factorization.

104023233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 104023233 is about 10199.1780551180. The cubic root of 104023233 is about 470.3019532438.

Adding to 104023233 its reverse (332320401), we get a palindrome (436343634).

The spelling of 104023233 in words is "one hundred four million, twenty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 19 57 101 171 303 317 361 909 951 1083 1919 2853 3249 5757 6023 17271 18069 32017 36461 54207 96051 109383 114437 288153 328149 343311 608323 1029933 1824969 5474907 11558137 34674411 104023233