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312120310034 = 21361196797169
BaseRepresentation
bin1001000101010111101…
…00011111100100010010
31002211122012102120102202
410202223310133210102
520103210244410114
6355215221243202
731356426601241
oct4425364374422
91084565376382
10312120310034
11110407861655
12505a8563502
1323581b984b0
141116cb1a958
1581bb796cde
hex48abd1f912

312120310034 has 16 divisors (see below), whose sum is σ = 512459830680. Its totient is φ = 141693960960.

The previous prime is 312120309997. The next prime is 312120310037. The reversal of 312120310034 is 430013021213.

It can be written as a sum of positive squares in 4 ways, for example, as 134361101809 + 177759208225 = 366553^2 + 421615^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312120309988 and 312120310015.

It is not an unprimeable number, because it can be changed into a prime (312120310037) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 98396999 + ... + 98400170.

Almost surely, 2312120310034 is an apocalyptic number.

312120310034 is a deficient number, since it is larger than the sum of its proper divisors (200339520646).

312120310034 is a wasteful number, since it uses less digits than its factorization.

312120310034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196797245.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 312120310034 its reverse (430013021213), we get a palindrome (742133331247).

The spelling of 312120310034 in words is "three hundred twelve billion, one hundred twenty million, three hundred ten thousand, thirty-four".

Divisors: 1 2 13 26 61 122 793 1586 196797169 393594338 2558363197 5116726394 12004627309 24009254618 156060155017 312120310034