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233123031 = 3238216779
BaseRepresentation
bin11011110010100…
…10110011010111
3121020122212200100
431321102303113
5434134414111
635044345143
75530340661
oct1571226327
9536585610
10233123031
1110a656869
12660a51b3
13393b392b
1422d65531
15156ed756
hexde52cd7

233123031 has 12 divisors (see below), whose sum is σ = 336871080. Its totient is φ = 155351760.

The previous prime is 233123021. The next prime is 233123063. The reversal of 233123031 is 130321332.

It is not a de Polignac number, because 233123031 - 25 = 233122999 is a prime.

It is a super-2 number, since 2×2331230312 = 108692695165253922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233122995 and 233123013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233123021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31000 + ... + 37778.

It is an arithmetic number, because the mean of its divisors is an integer number (28072590).

Almost surely, 2233123031 is an apocalyptic number.

233123031 is a deficient number, since it is larger than the sum of its proper divisors (103748049).

233123031 is a wasteful number, since it uses less digits than its factorization.

233123031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10606 (or 10603 counting only the distinct ones).

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

The square root of 233123031 is about 15268.3670050205. The cubic root of 233123031 is about 615.4532371822.

Adding to 233123031 its reverse (130321332), we get a palindrome (363444363).

The spelling of 233123031 in words is "two hundred thirty-three million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 3821 6779 11463 20337 34389 61011 25902559 77707677 233123031