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1330413212032 = 27131915435107
BaseRepresentation
bin10011010111000010110…
…011101001000110000000
311201012000210011200221121
4103113002303221012000
5133244141240241112
62455103340202024
7165055610500132
oct23270263510600
94635023150847
101330413212032
11473252635573
12195a14839314
13985c3c786a8
144856c837052
1524918e72407
hex135c2ce9180

1330413212032 has 64 divisors (see below), whose sum is σ = 2654680723200. Its totient is φ = 664141423104.

The previous prime is 1330413212027. The next prime is 1330413212069. The reversal of 1330413212032 is 2302123140331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1330413211988 and 1330413212006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260505223 + ... + 260510329.

It is an arithmetic number, because the mean of its divisors is an integer number (41479386300).

Almost surely, 21330413212032 is an apocalyptic number.

It is an amenable number.

1330413212032 is a deficient number, since it is larger than the sum of its proper divisors (1324267511168).

1330413212032 is a wasteful number, since it uses less digits than its factorization.

1330413212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7983 (or 7971 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1330413212032 its reverse (2302123140331), we get a palindrome (3632536352363).

The spelling of 1330413212032 in words is "one trillion, three hundred thirty billion, four hundred thirteen million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 1319 1543 2638 3086 5107 5276 6172 10214 10552 12344 20428 21104 24688 40856 42208 49376 81712 84416 98752 163424 168832 197504 326848 653696 2035217 4070434 6736133 7880101 8140868 13472266 15760202 16281736 26944532 31520404 32563472 53889064 63040808 65126944 107778128 126081616 130253888 215556256 252163232 260507776 431112512 504326464 862225024 1008652928 10393853219 20787706438 41575412876 83150825752 166301651504 332603303008 665206606016 1330413212032