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312004131021 = 321111232806373
BaseRepresentation
bin1001000101001001110…
…01010011100011001101
31002211100002211001210100
410202210321103203031
520102441024143041
6355155511201313
731353516233022
oct4424471234315
91084302731710
10312004131021
1111035821a640
1250575676239
1323563aab80b
141115b517549
1581b14986b6
hex48a4e538cd

312004131021 has 24 divisors (see below), whose sum is σ = 492080842656. Its totient is φ = 188924963040.

The previous prime is 312004131011. The next prime is 312004131053. The reversal of 312004131021 is 120131400213.

312004131021 is a `hidden beast` number, since 31 + 200 + 413 + 1 + 0 + 21 = 666.

It is not a de Polignac number, because 312004131021 - 217 = 312003999949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312004130985 and 312004131003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312004131011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1292010 + ... + 1514363.

It is an arithmetic number, because the mean of its divisors is an integer number (20503368444).

Almost surely, 2312004131021 is an apocalyptic number.

It is an amenable number.

312004131021 is a deficient number, since it is larger than the sum of its proper divisors (180076711635).

312004131021 is a wasteful number, since it uses less digits than its factorization.

312004131021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807513 (or 2807510 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312004131021 its reverse (120131400213), we get a palindrome (432135531234).

The spelling of 312004131021 in words is "three hundred twelve billion, four million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 11 33 99 1123 3369 10107 12353 37059 111177 2806373 8419119 25257357 30870103 92610309 277830927 3151556879 9454670637 28364011911 34667125669 104001377007 312004131021