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1330220303232 = 273127187314563
BaseRepresentation
bin10011010110110111010…
…011110000001110000000
311201011112100011220211020
4103112313103300032000
5133243242344200412
62455032245345440
7165051046005612
oct23266723601600
94634470156736
101330220303232
11473163756307
12195980108280
1398593004c82
1448550d7cdb2
152490706918c
hex135b74f0380

1330220303232 has 128 divisors (see below), whose sum is σ = 3563365724160. Its totient is φ = 439650312192.

The previous prime is 1330220303207. The next prime is 1330220303311. The reversal of 1330220303232 is 2323030220331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 91335183 + ... + 91349745.

It is an arithmetic number, because the mean of its divisors is an integer number (27838794720).

Almost surely, 21330220303232 is an apocalyptic number.

1330220303232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330220303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781682862080).

1330220303232 is an abundant number, since it is smaller than the sum of its proper divisors (2233145420928).

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

1330220303232 is a wasteful number, since it uses less digits than its factorization.

1330220303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16580 (or 16568 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 1330220303232 its reverse (2323030220331), we get a palindrome (3653250523563).

The spelling of 1330220303232 in words is "one trillion, three hundred thirty billion, two hundred twenty million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 1873 2032 3048 3746 4064 5619 6096 7492 8128 11238 12192 14563 14984 16256 22476 24384 29126 29968 43689 44952 48768 58252 59936 87378 89904 116504 119872 174756 179808 233008 237871 239744 349512 359616 466016 475742 699024 713613 719232 932032 951484 1398048 1427226 1849501 1864064 1902968 2796096 2854452 3699002 3805936 5548503 5592192 5708904 7398004 7611872 11097006 11417808 14796008 15223744 22194012 22835616 27276499 29592016 30447488 44388024 45671232 54552998 59184032 81829497 88776048 91342464 109105996 118368064 163658994 177552096 218211992 236736128 327317988 355104192 436423984 654635976 710208384 872847968 1309271952 1745695936 2618543904 3464115373 3491391872 5237087808 6928230746 10392346119 10474175616 13856461492 20784692238 27712922984 41569384476 55425845968 83138768952 110851691936 166277537904 221703383872 332555075808 443406767744 665110151616 1330220303232