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13145420115 = 32523971271031
BaseRepresentation
bin11000011111000011…
…10011000101010011
31020221010102112100200
430033201303011103
5203410211420430
610012223550243
7643520140662
oct141741630523
936833375320
1013145420115
115636279773
12266a45b383
1313165590c9
148c9bc0dd9
1551e0c9460
hex30f873153

13145420115 has 96 divisors (see below), whose sum is σ = 24233803776. Its totient is φ = 6578288640.

The previous prime is 13145420107. The next prime is 13145420143. The reversal of 13145420115 is 51102454131.

13145420115 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 542 + 0 + 115 = 666.

13145420115 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 13145420115 - 23 = 13145420107 is a prime.

It is a super-2 number, since 2×131454201152 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12749650 + ... + 12750680.

It is an arithmetic number, because the mean of its divisors is an integer number (252435456).

Almost surely, 213145420115 is an apocalyptic number.

13145420115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13145420115 is a deficient number, since it is larger than the sum of its proper divisors (11088383661).

13145420115 is a wasteful number, since it uses less digits than its factorization.

13145420115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 13145420115 its reverse (51102454131), we get a palindrome (64247874246).

The spelling of 13145420115 in words is "thirteen billion, one hundred forty-five million, four hundred twenty thousand, one hundred fifteen".

Divisors: 1 3 5 9 15 23 45 69 97 115 127 207 291 345 381 485 635 873 1031 1035 1143 1455 1905 2231 2921 3093 4365 5155 5715 6693 8763 9279 11155 12319 14605 15465 20079 23713 26289 33465 36957 43815 46395 61595 71139 100007 100395 110871 118565 130937 131445 184785 213417 283337 300021 355695 392811 500035 554355 654685 850011 900063 1067085 1178433 1416685 1500105 1964055 2300161 2550033 3011551 4250055 4500315 5892165 6900483 9034653 11500805 12700889 12750165 15057755 20701449 27103959 34502415 38102667 45173265 63504445 103507245 114308001 135519795 190513335 292120447 571540005 876361341 1460602235 2629084023 4381806705 13145420115