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12420011511 = 32294310110957
BaseRepresentation
bin10111001000100101…
…00101010111110111
31012001120102221211100
423210102211113313
5200414010332021
65412231541143
7616531233045
oct134422452767
935046387740
1012420011511
1152a3855526
1224a752a7b3
13122c19184b
1485b711395
154ca588626
hex2e44a55f7

12420011511 has 48 divisors (see below), whose sum is σ = 19180006560. Its totient is φ = 7730553600.

The previous prime is 12420011507. The next prime is 12420011531. The reversal of 12420011511 is 11511002421.

12420011511 is a `hidden beast` number, since 124 + 20 + 0 + 11 + 511 = 666.

It is not a de Polignac number, because 12420011511 - 22 = 12420011507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420011531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1128045 + ... + 1139001.

It is an arithmetic number, because the mean of its divisors is an integer number (399583470).

Almost surely, 212420011511 is an apocalyptic number.

12420011511 is a deficient number, since it is larger than the sum of its proper divisors (6759995049).

12420011511 is a wasteful number, since it uses less digits than its factorization.

12420011511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11136 (or 11133 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 12420011511 its reverse (11511002421), we get a palindrome (23931013932).

The spelling of 12420011511 in words is "twelve billion, four hundred twenty million, eleven thousand, five hundred eleven".

Divisors: 1 3 9 29 43 87 101 129 261 303 387 909 1247 2929 3741 4343 8787 10957 11223 13029 26361 32871 39087 98613 125947 317753 377841 471151 953259 1106657 1133523 1413453 2859777 3319971 4240359 9959913 13663379 32093053 40990137 47586251 96279159 122970411 142758753 288837477 428276259 1380001279 4140003837 12420011511