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311382972289 = 5580172
BaseRepresentation
bin1001000011111111101…
…11110001011110000001
31002202201210222221012101
410201333313301132001
520100203020103124
6355014121430401
731332234410434
oct4417767613601
91082653887171
10311382972289
1111006962a914
125042163b401
13234951b527c
14110dcc2381b
158176b9b644
hex487fdf1781

311382972289 has 3 divisors (see below), whose sum is σ = 311383530307. Its totient is φ = 311382414272.

The previous prime is 311382972203. The next prime is 311382972311. The reversal of 311382972289 is 982279283113.

The square root of 311382972289 is 558017.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 982279283113 = 1296775752239.

It can be written as a sum of positive squares in only one way, i.e., 8011145025 + 303371827264 = 89505^2 + 550792^2 .

It is not a de Polignac number, because 311382972289 - 231 = 309235488641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311382972689) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 279009 + ... + 837025.

Almost surely, 2311382972289 is an apocalyptic number.

311382972289 is the 558017-th square number.

311382972289 is the 279009-th centered octagonal number.

It is an amenable number.

311382972289 is a deficient number, since it is larger than the sum of its proper divisors (558018).

311382972289 is an frugal number, since it uses more digits than its factorization.

311382972289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116034 (or 558017 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 55.

The spelling of 311382972289 in words is "three hundred eleven billion, three hundred eighty-two million, nine hundred seventy-two thousand, two hundred eighty-nine".

Divisors: 1 558017 311382972289