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312001332021 = 3237936940937
BaseRepresentation
bin1001000101001001011…
…10101000001100110101
31002211022220112212021200
410202210232220030311
520102434320111041
6355155331203113
731353453364461
oct4424456501465
91084286485250
10312001332021
11110356688715
1250574746499
132356333b7c2
141115adc94a1
1581b10e41b6
hex48a4ba8335

312001332021 has 12 divisors (see below), whose sum is σ = 462848823372. Its totient is φ = 202379242176.

The previous prime is 312001332017. The next prime is 312001332023. The reversal of 312001332021 is 120233100213.

312001332021 is a `hidden beast` number, since 312 + 0 + 0 + 1 + 332 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219481943121 + 92519388900 = 468489^2 + 304170^2 .

It is not a de Polignac number, because 312001332021 - 22 = 312001332017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312001331985 and 312001332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001332023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468470136 + ... + 468470801.

It is an arithmetic number, because the mean of its divisors is an integer number (38570735281).

Almost surely, 2312001332021 is an apocalyptic number.

It is an amenable number.

312001332021 is a deficient number, since it is larger than the sum of its proper divisors (150847491351).

312001332021 is a wasteful number, since it uses less digits than its factorization.

312001332021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936940980 (or 936940977 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312001332021 its reverse (120233100213), we get a palindrome (432234432234).

The spelling of 312001332021 in words is "three hundred twelve billion, one million, three hundred thirty-two thousand, twenty-one".

Divisors: 1 3 9 37 111 333 936940937 2810822811 8432468433 34666814669 104000444007 312001332021