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13112024121 = 357210110903
BaseRepresentation
bin11000011011000100…
…11001110000111001
31020211210120211200000
430031202121300321
5203323134232441
610005032103213
7642633236400
oct141542316071
936753524600
1013112024121
115619439879
12265b234b09
13130c665471
148c55aa637
1551b1ce2b6
hex30d899c39

13112024121 has 72 divisors (see below), whose sum is σ = 23076091584. Its totient is φ = 7417720800.

The previous prime is 13112024059. The next prime is 13112024141. The reversal of 13112024121 is 12142021131.

13112024121 is a `hidden beast` number, since 131 + 120 + 2 + 412 + 1 = 666.

It is not a de Polignac number, because 13112024121 - 211 = 13112022073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13112024094 and 13112024103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112024141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1197156 + ... + 1208058.

It is an arithmetic number, because the mean of its divisors is an integer number (320501272).

Almost surely, 213112024121 is an apocalyptic number.

It is an amenable number.

13112024121 is a deficient number, since it is larger than the sum of its proper divisors (9964067463).

13112024121 is a wasteful number, since it uses less digits than its factorization.

13112024121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11033 (or 11014 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13112024121 its reverse (12142021131), we get a palindrome (25254045252).

The spelling of 13112024121 in words is "thirteen billion, one hundred twelve million, twenty-four thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 101 147 189 243 303 441 567 707 909 1323 1701 2121 2727 3969 4949 6363 8181 10903 11907 14847 19089 24543 32709 44541 57267 76321 98127 133623 171801 228963 294381 400869 534247 686889 883143 1101203 1202607 1602741 2060667 2649429 3303609 4808223 6182001 7708421 9910827 14424669 18546003 23125263 29732481 43274007 53958947 69375789 89197443 129822021 161876841 208127367 267592329 485630523 624382101 1456891569 1873146303 4370674707 13112024121