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12425105133 = 337314745121
BaseRepresentation
bin10111001001001100…
…00000111011101101
31012001221000201222000
423210212000323231
5200421311331013
65412533042513
7616622436210
oct134446007355
935057021860
1012425105133
1152a6714431
1224a9186439
13123025611c
1485c279777
154cac42973
hex2e4980eed

12425105133 has 64 divisors (see below), whose sum is σ = 22178365440. Its totient is φ = 6724684800.

The previous prime is 12425105111. The next prime is 12425105171. The reversal of 12425105133 is 33150152421.

12425105133 is a `hidden beast` number, since 1 + 2 + 425 + 105 + 133 = 666.

12425105133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12425105133 - 25 = 12425105101 is a prime.

It is a super-2 number, since 2×124251051332 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12425105097 and 12425105106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12425105183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252813 + ... + 297933.

It is an arithmetic number, because the mean of its divisors is an integer number (346536960).

Almost surely, 212425105133 is an apocalyptic number.

It is an amenable number.

12425105133 is a deficient number, since it is larger than the sum of its proper divisors (9753260307).

12425105133 is a wasteful number, since it uses less digits than its factorization.

12425105133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45215 (or 45209 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12425105133 its reverse (33150152421), we get a palindrome (45575257554).

The spelling of 12425105133 in words is "twelve billion, four hundred twenty-five million, one hundred five thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 31 47 63 93 141 189 217 279 329 423 651 837 987 1269 1457 1953 2961 4371 5859 8883 10199 13113 30597 39339 45121 91791 135363 275373 315847 406089 947541 1218267 1398751 2120687 2842623 4196253 6362061 8527869 9791257 12588759 14844809 19086183 29373771 37766277 44534427 57258549 65741297 88121313 133603281 197223891 264363939 400809843 460189079 591671673 1380567237 1775015019 4141701711 12425105133