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1330012013232 = 243733131194799
BaseRepresentation
bin10011010110101010111…
…001001100001010110000
311201010222211020200122210
4103112222321030022300
5133242331033410412
62454555445132120
7165042636403260
oct23265271141260
94633884220583
101330012013232
11473067120a11
121959223ba040
139855bb07556
144853143d7a0
15248e3b2383c
hex135aae4c2b0

1330012013232 has 80 divisors (see below), whose sum is σ = 3927890662400. Its totient is φ = 379888413696.

The previous prime is 1330012013167. The next prime is 1330012013333. The reversal of 1330012013232 is 2323102100331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1330012013199 and 1330012013208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515769 + ... + 1710567.

It is an arithmetic number, because the mean of its divisors is an integer number (49098633280).

Almost surely, 21330012013232 is an apocalyptic number.

1330012013232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330012013232 is an abundant number, since it is smaller than the sum of its proper divisors (2597878649168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1330012013232 is a wasteful number, since it uses less digits than its factorization.

1330012013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198130 (or 1198124 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1330012013232 its reverse (2323102100331), we get a palindrome (3653114113563).

The spelling of 1330012013232 in words is "one trillion, three hundred thirty billion, twelve million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3313 6626 9939 13252 19878 23191 26504 39756 46382 53008 69573 79512 92764 139146 159024 185528 278292 371056 556584 1113168 1194799 2389598 3584397 4779196 7168794 8363593 9558392 14337588 16727186 19116784 25090779 28675176 33454372 50181558 57350352 66908744 100363116 133817488 200726232 401452464 3958369087 7916738174 11875107261 15833476348 23750214522 27708583609 31666952696 47500429044 55417167218 63333905392 83125750827 95000858088 110834334436 166251501654 190001716176 221668668872 332503003308 443337337744 665006006616 1330012013232