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2134312134312 = 233697712746119
BaseRepresentation
bin11111000011101110111…
…010101010011010101000
321120001000212211012211010
4133003232322222122220
5234432032401244222
64312253420103520
7310125146544411
oct37035672523250
97501025735733
102134312134312
1175317a616286
122a5788994ba0
13126359916567
1475430920808
153a7b96c080c
hex1f0eeeaa6a8

2134312134312 has 32 divisors (see below), whose sum is σ = 5336545521600. Its totient is φ = 711335353344.

The previous prime is 2134312134299. The next prime is 2134312134349.

2134312134312 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2134312134312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6205612 + ... + 6540507.

It is an arithmetic number, because the mean of its divisors is an integer number (166767047550).

Almost surely, 22134312134312 is an apocalyptic number.

It is an amenable number.

2134312134312 is an abundant number, since it is smaller than the sum of its proper divisors (3202233387288).

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

2134312134312 is a wasteful number, since it uses less digits than its factorization.

2134312134312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12753105 (or 12753101 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The spelling of 2134312134312 in words is "two trillion, one hundred thirty-four billion, three hundred twelve million, one hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 6977 13954 20931 27908 41862 55816 83724 167448 12746119 25492238 38238357 50984476 76476714 101968952 152953428 305906856 88929672263 177859344526 266789016789 355718689052 533578033578 711437378104 1067156067156 2134312134312