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1320131120 = 245711415227
BaseRepresentation
bin100111010101111…
…1001101000110000
310102000001121110012
41032223321220300
510200423143440
6334554554052
744466633530
oct11653715060
93360047405
101320131120
116181a8060
1230a138928
13180665c99
14c74814c0
157ad69e65
hex4eaf9a30

1320131120 has 160 divisors (see below), whose sum is σ = 3920749056. Its totient is φ = 401356800.

The previous prime is 1320131119. The next prime is 1320131123. The reversal of 1320131120 is 211310231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1320131095 and 1320131104.

It is not an unprimeable number, because it can be changed into a prime (1320131123) 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, 249947 + ... + 255173.

Almost surely, 21320131120 is an apocalyptic number.

1320131120 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 1320131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960374528).

1320131120 is an abundant number, since it is smaller than the sum of its proper divisors (2600617936).

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

1320131120 is a wasteful number, since it uses less digits than its factorization.

1320131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1320131120 is about 36333.6086839719. The cubic root of 1320131120 is about 1096.9976308918.

Adding to 1320131120 its reverse (211310231), we get a palindrome (1531441351).

The spelling of 1320131120 in words is "one billion, three hundred twenty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 41 44 55 56 70 77 80 82 88 110 112 140 154 164 176 205 220 280 287 308 328 385 410 440 451 560 574 616 656 770 820 880 902 1148 1232 1435 1540 1640 1804 2255 2296 2870 3080 3157 3280 3608 4510 4592 5227 5740 6160 6314 7216 9020 10454 11480 12628 15785 18040 20908 22960 25256 26135 31570 36080 36589 41816 50512 52270 57497 63140 73178 83632 104540 114994 126280 146356 182945 209080 214307 229988 252560 287485 292712 365890 402479 418160 428614 459976 574970 585424 731780 804958 857228 919952 1071535 1149940 1463560 1500149 1609916 1714456 2012395 2143070 2299880 2357377 2927120 3000298 3219832 3428912 4024790 4286140 4599760 4714754 6000596 6439664 7500745 8049580 8572280 9429508 11786885 12001192 15001490 16099160 16501639 17144560 18859016 23573770 24002384 30002980 32198320 33003278 37718032 47147540 60005960 66006556 82508195 94295080 120011920 132013112 165016390 188590160 264026224 330032780 660065560 1320131120