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233114013 = 321117138511
BaseRepresentation
bin11011110010100…
…00100110011101
3121020122102022100
431321100212131
5434134122023
635044235313
75530302456
oct1571204635
9536572270
10233114013
1110a650010
126609bb39
13393ac7b2
1422d6212d
15156eac43
hexde5099d

233114013 has 24 divisors (see below), whose sum is σ = 388941696. Its totient is φ = 132969600.

The previous prime is 233114009. The next prime is 233114041. The reversal of 233114013 is 310411332.

It is not a de Polignac number, because 233114013 - 22 = 233114009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233114053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67573 + ... + 70938.

It is an arithmetic number, because the mean of its divisors is an integer number (16205904).

Almost surely, 2233114013 is an apocalyptic number.

It is an amenable number.

233114013 is a deficient number, since it is larger than the sum of its proper divisors (155827683).

233114013 is a wasteful number, since it uses less digits than its factorization.

233114013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138545 (or 138542 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 233114013 is about 15268.0716857107. The cubic root of 233114013 is about 615.4453011311.

Adding to 233114013 its reverse (310411332), we get a palindrome (543525345).

The spelling of 233114013 in words is "two hundred thirty-three million, one hundred fourteen thousand, thirteen".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 138511 415533 1246599 1523621 2354687 4570863 7064061 13712589 21192183 25901557 77704671 233114013