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2146123235031 = 35315551867959
BaseRepresentation
bin11111001110101110111…
…010011011111011010111
321121011112000111022001220
4133032232322123323113
5240130230022010111
64321525421021423
7311023635336366
oct37165672337327
97534460438056
102146123235031
11758190687046
122a7b243b4873
131274bc8ac659
1475c314097dd
153ac5b57ae06
hex1f3aee9bed7

2146123235031 has 16 divisors (see below), whose sum is σ = 2915679006720. Its totient is φ = 1403661677600.

The previous prime is 2146123235017. The next prime is 2146123235083. The reversal of 2146123235031 is 1305323216412.

It is a cyclic number.

It is not a de Polignac number, because 2146123235031 - 25 = 2146123234999 is a prime.

It is a super-2 number, since 2×21461232350312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2146123234983 and 2146123235001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146123235731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2038630 + ... + 2906588.

It is an arithmetic number, because the mean of its divisors is an integer number (182229937920).

Almost surely, 22146123235031 is an apocalyptic number.

2146123235031 is a deficient number, since it is larger than the sum of its proper divisors (769555771689).

2146123235031 is a wasteful number, since it uses less digits than its factorization.

2146123235031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883566.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 2146123235031 in words is "two trillion, one hundred forty-six billion, one hundred twenty-three million, two hundred thirty-five thousand, thirty-one".

Divisors: 1 3 53 159 15551 46653 824203 867959 2472609 2603877 46001827 138005481 13497630409 40492891227 715374411677 2146123235031