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413511021135 = 355340338289
BaseRepresentation
bin1100000010001110010…
…11010111001001001111
31110112100021221100200000
412001013023113021033
523233332310134020
6513544144135343
741606121454122
oct6010713271117
91415307840600
10413511021135
1114a407211573
1268184007553
132ccbc8536c4
141602a7523b9
15ab52b3e090
hex60472d724f

413511021135 has 24 divisors (see below), whose sum is σ = 743298825360. Its totient is φ = 220539210624.

The previous prime is 413511021103. The next prime is 413511021149. The reversal of 413511021135 is 531120115314.

413511021135 is a `hidden beast` number, since 4 + 13 + 511 + 0 + 2 + 1 + 135 = 666.

It is not a de Polignac number, because 413511021135 - 25 = 413511021103 is a prime.

It is a super-2 number, since 2×4135110211352 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 413511021099 and 413511021108.

It is a congruent number.

It is an unprimeable number.

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, 170167930 + ... + 170170359.

It is an arithmetic number, because the mean of its divisors is an integer number (30970784390).

Almost surely, 2413511021135 is an apocalyptic number.

413511021135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

413511021135 is a deficient number, since it is larger than the sum of its proper divisors (329787804225).

413511021135 is an equidigital number, since it uses as much as digits as its factorization.

413511021135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340338309 (or 340338297 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 413511021135 its reverse (531120115314), we get a palindrome (944631136449).

The spelling of 413511021135 in words is "four hundred thirteen billion, five hundred eleven million, twenty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 340338289 1021014867 1701691445 3063044601 5105074335 9189133803 15315223005 27567401409 45945669015 82702204227 137837007045 413511021135