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1330301013312 = 26388317874391
BaseRepresentation
bin10011010110111100000…
…111101000110101000000
311201011201222001102020110
4103112330013220311000
5133243424024411222
62455044251311320
7165053046020145
oct23267407506500
94634658042213
101330301013312
114731a5271a57
121959a314b540
13985a695360b
144855b98c3cc
152490e1ad30c
hex135bc1e8d40

1330301013312 has 112 divisors (see below), whose sum is σ = 3526515712512. Its totient is φ = 442582801920.

The previous prime is 1330301013263. The next prime is 1330301013337. The reversal of 1330301013312 is 2133101030331.

It is a congruent number.

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, 302958637 + ... + 302963027.

Almost surely, 21330301013312 is an apocalyptic number.

1330301013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330301013312 is an abundant number, since it is smaller than the sum of its proper divisors (2196214699200).

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

1330301013312 is a wasteful number, since it uses less digits than its factorization.

1330301013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1330301013312 its reverse (2133101030331), we get a palindrome (3463402043643).

The spelling of 1330301013312 in words is "one trillion, three hundred thirty billion, three hundred one million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 883 1766 1787 2649 3532 3574 4391 5298 5361 7064 7148 8782 10596 10722 13173 14128 14296 17564 21192 21444 26346 28256 28592 35128 42384 42888 52692 56512 57184 70256 84768 85776 105384 114368 140512 169536 171552 210768 281024 343104 421536 843072 1577921 3155842 3877253 4733763 6311684 7754506 7846717 9467526 11631759 12623368 15509012 15693434 18935052 23263518 23540151 25246736 31018024 31386868 37870104 46527036 47080302 50493472 62036048 62773736 75740208 93054072 94160604 100986944 124072096 125547472 151480416 186108144 188321208 248144192 251094944 302960832 372216288 376642416 502189888 744432576 753284832 1506569664 6928651111 13857302222 20785953333 27714604444 41571906666 55429208888 83143813332 110858417776 166287626664 221716835552 332575253328 443433671104 665150506656 1330301013312