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1023320121330 = 2351317316139403
BaseRepresentation
bin11101110010000101010…
…00011101111111110010
310121211100221100022222110
432321002220131333302
5113231224422340310
62102035021350150
7133634553340653
oct16710250357762
93554327308873
101023320121330
11364a95592241
121463aba08356
137566377c1c0
143775966552a
151b943c0bd20
hexee42a1dff2

1023320121330 has 128 divisors (see below), whose sum is σ = 2662109597952. Its totient is φ = 250256268288.

The previous prime is 1023320121277. The next prime is 1023320121353. The reversal of 1023320121330 is 331210233201.

It is a junction number, because it is equal to n+sod(n) for n = 1023320121297 and 1023320121306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108824409 + ... + 108833811.

It is an arithmetic number, because the mean of its divisors is an integer number (20797731234).

Almost surely, 21023320121330 is an apocalyptic number.

1023320121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023320121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331054798976).

1023320121330 is an abundant number, since it is smaller than the sum of its proper divisors (1638789476622).

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

1023320121330 is a wasteful number, since it uses less digits than its factorization.

1023320121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212.

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

Adding to 1023320121330 its reverse (331210233201), we get a palindrome (1354530354531).

The spelling of 1023320121330 in words is "one trillion, twenty-three billion, three hundred twenty million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 173 195 346 390 519 865 1038 1613 1730 2249 2595 3226 4498 4839 5190 6747 8065 9403 9678 11245 13494 16130 18806 20969 22490 24195 28209 33735 41938 47015 48390 56418 62907 67470 94030 104845 122239 125814 141045 209690 244478 279049 282090 314535 366717 558098 611195 629070 733434 837147 1222390 1395245 1626719 1674294 1833585 2790490 3253438 3627637 3667170 4185735 4880157 7255274 8133595 8371470 9760314 10882911 15167039 16267190 18138185 21147347 21765822 24400785 30334078 36276370 42294694 45501117 48801570 54414555 63442041 75835195 91002234 105736735 108829110 126884082 151670390 197171507 211473470 227505585 317210205 394343014 455011170 591514521 634420410 985857535 1183029042 1971715070 2623897747 2957572605 5247795494 5915145210 7871693241 13119488735 15743386482 26238977470 34110670711 39358466205 68221341422 78716932410 102332012133 170553353555 204664024266 341106707110 511660060665 1023320121330