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1023315320320 = 295571700057
BaseRepresentation
bin11101110010000100101…
…10001001111000000000
310121211100121022102020021
432321002112021320000
5113231222210222240
62102034330423224
7133634464463566
oct16710226117000
93554317272207
101023315320320
11364a92903167
121463aa291b14
137566278ab77
1437758b75a36
151b9435ae54a
hexee42589e00

1023315320320 has 80 divisors (see below), whose sum is σ = 2457858834288. Its totient is φ = 408608686080.

The previous prime is 1023315320299. The next prime is 1023315320333. The reversal of 1023315320320 is 230235133201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1111732 + ... + 1811788.

Almost surely, 21023315320320 is an apocalyptic number.

1023315320320 is a gapful number since it is divisible by the number (10) 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 1023315320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228929417144).

1023315320320 is an abundant number, since it is smaller than the sum of its proper divisors (1434543513968).

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

1023315320320 is an frugal number, since it uses more digits than its factorization.

1023315320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700651 (or 700635 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The spelling of 1023315320320 in words is "one trillion, twenty-three billion, three hundred fifteen million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 571 640 1142 1280 2284 2560 2855 4568 5710 9136 11420 18272 22840 36544 45680 73088 91360 146176 182720 292352 365440 700057 730880 1400114 1461760 2800228 3500285 5600456 7000570 11200912 14001140 22401824 28002280 44803648 56004560 89607296 112009120 179214592 224018240 358429184 399732547 448036480 799465094 896072960 1598930188 1792145920 1998662735 3197860376 3997325470 6395720752 7994650940 12791441504 15989301880 25582883008 31978603760 51165766016 63957207520 102331532032 127914415040 204663064064 255828830080 511657660160 1023315320320