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13323320120 = 23511311675849
BaseRepresentation
bin11000110100010000…
…11011101100111000
31021101112011210021202
430122020123230320
5204241232220440
610042020553332
7651110231615
oct143210335470
937345153252
1013323320120
115717737670
1226b9b52848
131344376196
1490568d50c
1552ea1a615
hex31a21bb38

13323320120 has 128 divisors (see below), whose sum is σ = 33965568000. Its totient is φ = 4659686400.

The previous prime is 13323320071. The next prime is 13323320123. The reversal of 13323320120 is 2102332331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13323320092 and 13323320101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323320123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2274956 + ... + 2280804.

It is an arithmetic number, because the mean of its divisors is an integer number (265356000).

Almost surely, 213323320120 is an apocalyptic number.

13323320120 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 13323320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784000).

13323320120 is an abundant number, since it is smaller than the sum of its proper divisors (20642247880).

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

13323320120 is a wasteful number, since it uses less digits than its factorization.

13323320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13323320120 its reverse (2102332331), we get a palindrome (15425652451).

The spelling of 13323320120 in words is "thirteen billion, three hundred twenty-three million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 167 220 248 310 334 341 440 620 668 682 835 1240 1336 1364 1670 1705 1837 2728 3340 3410 3674 5177 5849 6680 6820 7348 9185 10354 11698 13640 14696 18370 20708 23396 25885 29245 36740 41416 46792 51770 56947 58490 64339 73480 103540 113894 116980 128678 181319 207080 227788 233960 257356 284735 321695 362638 455576 514712 569470 643390 725276 906595 976783 1138940 1286780 1450552 1813190 1953566 1994509 2277880 2573560 3626380 3907132 3989018 4883915 7252760 7814264 7978036 9767830 9972545 10744613 15956072 19535660 19945090 21489226 30280273 39071320 39890180 42978452 53723065 60560546 79780360 85956904 107446130 121121092 151401365 214892260 242242184 302802730 333083003 429784520 605605460 666166006 1211210920 1332332012 1665415015 2664664024 3330830030 6661660060 13323320120