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12100103122131 = 326774133480499
BaseRepresentation
bin1011000000010100011001…
…0110010010110011010011
31120211202110222202121000100
42300011012112102303103
53041222002344402011
641422413255223443
72356126556345433
oct260050626226323
946752428677010
1012100103122131
113945696844102
1214350b8077b83
1369a05b696c2b
142db9106042c3
1515eb41229d56
hexb0146592cd3

12100103122131 has 24 divisors (see below), whose sum is σ = 17508015018000. Its totient is φ = 8052854337216.

The previous prime is 12100103122103. The next prime is 12100103122169. The reversal of 12100103122131 is 13122130100121.

12100103122131 is a `hidden beast` number, since 1 + 210 + 0 + 10 + 312 + 2 + 131 = 666.

It is not a de Polignac number, because 12100103122131 - 26 = 12100103122067 is a prime.

It is a super-2 number, since 2×121001031221312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12100103122171) 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 23 ways as a sum of consecutive naturals, for example, 24942120 + ... + 25422618.

It is an arithmetic number, because the mean of its divisors is an integer number (729500625750).

Almost surely, 212100103122131 is an apocalyptic number.

12100103122131 is a deficient number, since it is larger than the sum of its proper divisors (5407911895869).

12100103122131 is a wasteful number, since it uses less digits than its factorization.

12100103122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485315 (or 485312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12100103122131 its reverse (13122130100121), we get a palindrome (25222233222252).

The spelling of 12100103122131 in words is "twelve trillion, one hundred billion, one hundred three million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 677 2031 4133 6093 12399 37197 480499 1441497 2798041 4324491 8394123 25182369 325297823 975893469 1985902367 2927680407 5957707101 17873121303 1344455902459 4033367707377 12100103122131