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1330012313331 = 313173907217339
BaseRepresentation
bin10011010110101010111…
…010010101011011110011
311201010222211210221022120
4103112222322111123303
5133242331123011311
62454555455405323
7165042642063222
oct23265272253363
94633884727276
101330012313331
11473067306429
12195922523843
139855bbb1020
14485314bacb9
15248e3b82706
hex135aae956f3

1330012313331 has 32 divisors (see below), whose sum is σ = 1922926951680. Its totient is φ = 812837165184.

The previous prime is 1330012313321. The next prime is 1330012313339. The reversal of 1330012313331 is 1333132100331.

It is not a de Polignac number, because 1330012313331 - 217 = 1330012182259 is a prime.

It is a super-2 number, since 2×13300123133312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330012313339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6010860 + ... + 6228198.

It is an arithmetic number, because the mean of its divisors is an integer number (60091467240).

Almost surely, 21330012313331 is an apocalyptic number.

1330012313331 is a deficient number, since it is larger than the sum of its proper divisors (592914638349).

1330012313331 is a wasteful number, since it uses less digits than its factorization.

1330012313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218435.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1330012313331 its reverse (1333132100331), we get a palindrome (2663144413662).

The spelling of 1330012313331 in words is "one trillion, three hundred thirty billion, twelve million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 13 39 173 519 907 2249 2721 6747 11791 35373 156911 217339 470733 652017 2039843 2825407 6119529 8476221 37599647 112798941 197126473 488795411 591379419 1466386233 2562644149 7687932447 34102879829 102308639487 443337437777 1330012313331