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331072501321 = 292198412
BaseRepresentation
bin1001101000101010111…
…01010111011001001001
31011122120000022122100101
410310111131113121021
520411014030020241
6412032000405401
732630166554242
oct4642535273111
91148500278311
10331072501321
11118452883461
12541b7616861
13252b2467073
1412049babcc9
15892a53ae31
hex4d15757649

331072501321 has 9 divisors (see below), whose sum is σ = 342899742133. Its totient is φ = 319640097280.

The previous prime is 331072501301. The next prime is 331072501327. The reversal of 331072501321 is 123105270133.

The square root of 331072501321 is 575389.

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

It can be written as a sum of positive squares in 4 ways, for example, as 127869892921 + 203202608400 = 357589^2 + 450780^2 .

It is a de Polignac number, because none of the positive numbers 2k-331072501321 is a prime.

It is a super-2 number, since 2×3310725013212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 331072501321.

It is not an unprimeable number, because it can be changed into a prime (331072501327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16676361 + ... + 16696201.

Almost surely, 2331072501321 is an apocalyptic number.

331072501321 is the 575389-th square number.

331072501321 is the 287695-th centered octagonal number.

It is an amenable number.

331072501321 is a deficient number, since it is larger than the sum of its proper divisors (11827240812).

331072501321 is an frugal number, since it uses more digits than its factorization.

331072501321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39740 (or 19870 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

Adding to 331072501321 its reverse (123105270133), we get a palindrome (454177771454).

The spelling of 331072501321 in words is "three hundred thirty-one billion, seventy-two million, five hundred one thousand, three hundred twenty-one".

Divisors: 1 29 841 19841 575389 16686281 393665281 11416293149 331072501321