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13143020121 = 3371123118539
BaseRepresentation
bin11000011110110001…
…01001001001011001
31020220221220121012000
430033120221021121
5203404103120441
610012100311213
7643460553630
oct141730511131
936827817160
1013143020121
11563498a600
1226696a2509
131315bc88aa
148c9758517
1551dca32b6
hex30f629259

13143020121 has 96 divisors (see below), whose sum is σ = 25249996800. Its totient is φ = 6606943200.

The previous prime is 13143020117. The next prime is 13143020123. The reversal of 13143020121 is 12102034131.

13143020121 is a `hidden beast` number, since 1 + 31 + 430 + 201 + 2 + 1 = 666.

It is not a de Polignac number, because 13143020121 - 22 = 13143020117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13143020094 and 13143020103.

It is not an unprimeable number, because it can be changed into a prime (13143020123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 699670 + ... + 718208.

It is an arithmetic number, because the mean of its divisors is an integer number (263020800).

Almost surely, 213143020121 is an apocalyptic number.

13143020121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13143020121 is a deficient number, since it is larger than the sum of its proper divisors (12106976679).

13143020121 is a wasteful number, since it uses less digits than its factorization.

13143020121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18608 (or 18591 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13143020121 its reverse (12102034131), we get a palindrome (25245054252).

The spelling of 13143020121 in words is "thirteen billion, one hundred forty-three million, twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 31 33 63 77 93 99 121 189 217 231 279 297 341 363 651 693 837 847 1023 1089 1953 2079 2387 2541 3069 3267 3751 5859 7161 7623 9207 11253 18539 21483 22869 26257 33759 55617 64449 78771 101277 129773 166851 203929 236313 389319 500553 574709 611787 708939 1167957 1427503 1724127 1835361 2243219 3503871 4022963 4282509 5172381 5506083 6321799 6729657 12068889 12847527 15517143 15702533 18965397 20188971 36206667 38542581 44252593 47107599 56896191 60566913 69539789 108620001 132757779 141322797 170688573 208619367 398273337 423968391 486778523 625858101 1194820011 1460335569 1877574303 4381006707 13143020121