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1321101320 = 235711538093
BaseRepresentation
bin100111010111110…
…0110100000001000
310102001212220022112
41032233212200020
510201200220240
6335031441452
744511114230
oct11657464010
93361786275
101321101320
116187aaa80
1230a526288
13180915776
14c7654cc0
157aeac665
hex4ebe6808

1321101320 has 128 divisors (see below), whose sum is σ = 3776336640. Its totient is φ = 403952640.

The previous prime is 1321101319. The next prime is 1321101343. The reversal of 1321101320 is 231011231.

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 = 1321101295 and 1321101304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159194 + ... + 167286.

It is an arithmetic number, because the mean of its divisors is an integer number (29502630).

Almost surely, 21321101320 is an apocalyptic number.

1321101320 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 1321101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888168320).

1321101320 is an abundant number, since it is smaller than the sum of its proper divisors (2455235320).

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

1321101320 is a wasteful number, since it uses less digits than its factorization.

1321101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8175 (or 8171 counting only the distinct ones).

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

The square root of 1321101320 is about 36346.9575067845. The cubic root of 1321101320 is about 1097.2663028094.

Adding to 1321101320 its reverse (231011231), we get a palindrome (1552112551).

The spelling of 1321101320 in words is "one billion, three hundred twenty-one million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 53 55 56 70 77 88 106 110 140 154 212 220 265 280 308 371 385 424 440 530 583 616 742 770 1060 1166 1484 1540 1855 2120 2332 2915 2968 3080 3710 4081 4664 5830 7420 8093 8162 11660 14840 16186 16324 20405 23320 32372 32648 40465 40810 56651 64744 80930 81620 89023 113302 161860 163240 178046 226604 283255 323720 356092 428929 445115 453208 566510 623161 712184 857858 890230 1133020 1246322 1715716 1780460 2144645 2266040 2492644 3002503 3115805 3431432 3560920 4289290 4718219 4985288 6005006 6231610 8578580 9436438 12010012 12463220 15012515 17157160 18872876 23591095 24020024 24926440 30025030 33027533 37745752 47182190 60050060 66055066 94364380 120100120 132110132 165137665 188728760 264220264 330275330 660550660 1321101320