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312032002321 = 1321846343209
BaseRepresentation
bin1001000101001101000…
…11101000000100010001
31002211102001021002000201
410202212203220010101
520103020143033241
6355202344415201
731354305154324
oct4424643500421
91084361232021
10312032002321
11110371a26776
1250582a77501
13235697b9900
14111610d07bb
1581b3b51931
hex48a68e8111

312032002321 has 6 divisors (see below), whose sum is σ = 337880807430. Its totient is φ = 288029540448.

The previous prime is 312032002277. The next prime is 312032002333. The reversal of 312032002321 is 123200230213.

It can be written as a sum of positive squares in 3 ways, for example, as 12664351296 + 299367651025 = 112536^2 + 547145^2 .

It is a de Polignac number, because none of the positive numbers 2k-312032002321 is a prime.

It is a super-3 number, since 3×3120320023213 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312032002391) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 923171436 + ... + 923171773.

It is an arithmetic number, because the mean of its divisors is an integer number (56313467905).

Almost surely, 2312032002321 is an apocalyptic number.

It is an amenable number.

312032002321 is a deficient number, since it is larger than the sum of its proper divisors (25848805109).

312032002321 is a wasteful number, since it uses less digits than its factorization.

312032002321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846343235 (or 1846343222 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 312032002321 its reverse (123200230213), we get a palindrome (435232232534).

The spelling of 312032002321 in words is "three hundred twelve billion, thirty-two million, two thousand, three hundred twenty-one".

Divisors: 1 13 169 1846343209 24002461717 312032002321