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23540121 = 32111771197
BaseRepresentation
bin101100111001…
…1000110011001
31122021221222100
41121303012121
522011240441
62200314013
7404042043
oct131630631
948257870
1023540121
1112319050
127a72909
134b52887
1431aaa93
1520eecb6
hex1673199

23540121 has 48 divisors (see below), whose sum is σ = 40030848. Its totient is φ = 13171200.

The previous prime is 23540113. The next prime is 23540123. The reversal of 23540121 is 12104532.

23540121 is a `hidden beast` number, since 2 + 3 + 540 + 121 = 666.

It is not a de Polignac number, because 23540121 - 23 = 23540113 is a prime.

It is a super-3 number, since 3×235401213 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23540094 and 23540103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23540123) 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 47 ways as a sum of consecutive naturals, for example, 119395 + ... + 119591.

It is an arithmetic number, because the mean of its divisors is an integer number (833976).

Almost surely, 223540121 is an apocalyptic number.

It is an amenable number.

23540121 is a deficient number, since it is larger than the sum of its proper divisors (16490727).

23540121 is a wasteful number, since it uses less digits than its factorization.

23540121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23540121 is about 4851.8162578564. The cubic root of 23540121 is about 286.5956297452.

Adding to 23540121 its reverse (12104532), we get a palindrome (35644653).

The spelling of 23540121 in words is "twenty-three million, five hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 71 99 153 187 197 213 561 591 639 781 1207 1683 1773 2167 2343 3349 3621 6501 7029 10047 10863 13277 13987 19503 30141 36839 39831 41961 110517 119493 125883 153857 237779 331551 461571 713337 1384713 2140011 2615569 7846707 23540121