Search a number
-
+
12032000101011 = 3112832413753377
BaseRepresentation
bin1010111100010110101100…
…0101111000101010010011
31120121020200202220122221210
42233011223011320222103
53034113014011213021
641331231411151203
72351166115253442
oct257055305705223
946536622818853
1012032000101011
113919819424380
121423a705a5503
136937c7265cb7
142d84cd90ad59
1515cea742be76
hexaf16b178a93

12032000101011 has 32 divisors (see below), whose sum is σ = 17563989051648. Its totient is φ = 7265916887040.

The previous prime is 12032000101001. The next prime is 12032000101021. The reversal of 12032000101011 is 11010100023021.

It is an interprime number because it is at equal distance from previous prime (12032000101001) and next prime (12032000101021).

It is not a de Polignac number, because 12032000101011 - 29 = 12032000100499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12032000101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225388755 + ... + 225442131.

It is an arithmetic number, because the mean of its divisors is an integer number (548874657864).

Almost surely, 212032000101011 is an apocalyptic number.

12032000101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12032000101011 is a deficient number, since it is larger than the sum of its proper divisors (5531988950637).

12032000101011 is a wasteful number, since it uses less digits than its factorization.

12032000101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77811.

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

Adding to 12032000101011 its reverse (11010100023021), we get a palindrome (23042100124032).

The spelling of 12032000101011 in words is "twelve trillion, thirty-two billion, one hundred one thousand, eleven".

Divisors: 1 3 11 33 283 849 3113 9339 24137 53377 72411 160131 265507 587147 796521 1761441 6830771 15105691 20492313 45317073 75138481 166162601 225415443 498487803 1288360649 3865081947 14171967139 42515901417 364606063667 1093818191001 4010666700337 12032000101011