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312113211021 = 3234679245669
BaseRepresentation
bin1001000101010110110…
…01011010011010001101
31002211121201001220102100
410202223121122122031
520103201440223041
6355214405145313
731356312343353
oct4425331323215
91084551056370
10312113211021
11110403852aa7
12505a60bb239
13235805811b1
141116bbcd7d3
1581bad436b6
hex48ab65a68d

312113211021 has 6 divisors (see below), whose sum is σ = 450830193710. Its totient is φ = 208075474008.

The previous prime is 312113211019. The next prime is 312113211023. The reversal of 312113211021 is 120112311213.

312113211021 is a `hidden beast` number, since 31 + 211 + 321 + 102 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (312113211019) and next prime (312113211023).

It can be written as a sum of positive squares in only one way, i.e., 192206835396 + 119906375625 = 438414^2 + 346275^2 .

It is not a de Polignac number, because 312113211021 - 21 = 312113211019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312113210985 and 312113211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312113211023) 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 5 ways as a sum of consecutive naturals, for example, 17339622826 + ... + 17339622843.

Almost surely, 2312113211021 is an apocalyptic number.

It is an amenable number.

312113211021 is a deficient number, since it is larger than the sum of its proper divisors (138716982689).

312113211021 is a wasteful number, since it uses less digits than its factorization.

312113211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34679245675 (or 34679245672 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 312113211021 its reverse (120112311213), we get a palindrome (432225522234).

The spelling of 312113211021 in words is "three hundred twelve billion, one hundred thirteen million, two hundred eleven thousand, twenty-one".

Divisors: 1 3 9 34679245669 104037737007 312113211021