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610105060134 = 232334031014721
BaseRepresentation
bin10001110000011010001…
…10000110101100100110
32011022210021022022000200
420320031012012230212
534443443343411014
61144140044451330
762035654305513
oct10701506065446
92138707268020
10610105060134
11215820445869
129a2aab49b46
13456c034072b
142175a35430a
1510d0c07ea09
hex8e0d186b26

610105060134 has 24 divisors (see below), whose sum is σ = 1321935173832. Its totient is φ = 203362064640.

The previous prime is 610105060093. The next prime is 610105060139. The reversal of 610105060134 is 431060501016.

610105060134 is a `hidden beast` number, since 6 + 1 + 0 + 1 + 0 + 50 + 601 + 3 + 4 = 666.

It is a super-2 number, since 2×6101050601342 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 610105060098 and 610105060107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610105060139) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 93894 + ... + 1108614.

It is an arithmetic number, because the mean of its divisors is an integer number (55080632243).

Almost surely, 2610105060134 is an apocalyptic number.

610105060134 is an abundant number, since it is smaller than the sum of its proper divisors (711830113698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

610105060134 is a wasteful number, since it uses less digits than its factorization.

610105060134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048132 (or 1048129 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 610105060134 in words is "six hundred ten billion, one hundred five million, sixty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 33403 66806 100209 200418 300627 601254 1014721 2029442 3044163 6088326 9132489 18264978 33894725563 67789451126 101684176689 203368353378 305052530067 610105060134