Search a number
-
+
12130041 = 371152511
BaseRepresentation
bin101110010001…
…011011111001
3211211021021210
4232101123321
511101130131
61111553333
7205050360
oct56213371
924737253
1012130041
116935530
12408b849
132689251
14187a7d7
1510e9146
hexb916f9

12130041 has 16 divisors (see below), whose sum is σ = 20164608. Its totient is φ = 6301200.

The previous prime is 12130007. The next prime is 12130049. The reversal of 12130041 is 14003121.

It is a happy number.

It is not a de Polignac number, because 12130041 - 210 = 12129017 is a prime.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 12129999 and 12130026.

It is not an unprimeable number, because it can be changed into a prime (12130049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26025 + ... + 26486.

It is an arithmetic number, because the mean of its divisors is an integer number (1260288).

Almost surely, 212130041 is an apocalyptic number.

12130041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12130041 is a deficient number, since it is larger than the sum of its proper divisors (8034567).

12130041 is a wasteful number, since it uses less digits than its factorization.

12130041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52532.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12130041 is about 3482.8208394920. The cubic root of 12130041 is about 229.7668778448.

Adding to 12130041 its reverse (14003121), we get a palindrome (26133162).

Subtracting 12130041 from its reverse (14003121), we obtain a triangular number (1873080 = T1935).

The spelling of 12130041 in words is "twelve million, one hundred thirty thousand, forty-one".

Divisors: 1 3 7 11 21 33 77 231 52511 157533 367577 577621 1102731 1732863 4043347 12130041