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13323320321020 = 22541271481312457
BaseRepresentation
bin1100000111100001001111…
…0001100110001111111100
31202011200211002201121102221
43001320103301212033330
53221242130000233040
644200352053055124
72543402204110123
oct301702361461774
952150732647387
1013323320321020
11427742aa8a376
1215b21950274a4
137584cb03a538
14340bd03d8aba
1518188432a74a
hexc1e13c663fc

13323320321020 has 96 divisors (see below), whose sum is σ = 28775434980096. Its totient is φ = 5178666700800.

The previous prime is 13323320320991. The next prime is 13323320321029. The reversal of 13323320321020 is 2012302332331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323320321029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1069538632 + ... + 1069551088.

It is an arithmetic number, because the mean of its divisors is an integer number (299744114376).

Almost surely, 213323320321020 is an apocalyptic number.

13323320321020 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 13323320321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387717490048).

13323320321020 is an abundant number, since it is smaller than the sum of its proper divisors (15452114659076).

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

13323320321020 is a wasteful number, since it uses less digits than its factorization.

13323320321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17591 (or 17589 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 13323320321020 its reverse (2012302332331), we get a palindrome (15335622653351).

The spelling of 13323320321020 in words is "thirteen trillion, three hundred twenty-three billion, three hundred twenty million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 4813 5420 9626 11111 12457 19252 22222 24065 24914 44444 48130 49828 55555 62285 96260 111110 124570 197333 222220 249140 394666 510737 789332 986665 1021474 1304323 1973330 2042948 2553685 2608646 3375847 3946660 5107370 5217292 6521615 6751694 10214740 13043230 13503388 16879235 26086460 33758470 53477243 59955541 67516940 106954486 119911082 138409727 213908972 239822164 267386215 276819454 299777705 534772430 553638908 599555410 692048635 1069544860 1199110820 1384097270 2458177181 2768194540 4916354362 9832708724 12290885905 16247951611 24581771810 32495903222 49163543620 64991806444 81239758055 162479516110 324959032220 666166016051 1332332032102 2664664064204 3330830080255 6661660160510 13323320321020