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1131021320 = 2351113238597
BaseRepresentation
bin100001101101010…
…0000010000001000
32220211012211120112
41003122200100020
54304020140240
6304121413452
740012344152
oct10332402010
92824184515
101131021320
11530483070
1227693a288
131504227b0
14aa2d5ad2
1569462665
hex436a0408

1131021320 has 128 divisors (see below), whose sum is σ = 3120042240. Its totient is φ = 363095040.

The previous prime is 1131021319. The next prime is 1131021323. The reversal of 1131021320 is 231201311.

It is a junction number, because it is equal to n+sod(n) for n = 1131021295 and 1131021304.

It is not an unprimeable number, because it can be changed into a prime (1131021323) 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, 127262 + ... + 135858.

It is an arithmetic number, because the mean of its divisors is an integer number (24375330).

Almost surely, 21131021320 is an apocalyptic number.

1131021320 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 1131021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560021120).

1131021320 is an abundant number, since it is smaller than the sum of its proper divisors (1989020920).

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

1131021320 is a wasteful number, since it uses less digits than its factorization.

1131021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8655 (or 8651 counting only the distinct ones).

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

The square root of 1131021320 is about 33630.6604157575. The cubic root of 1131021320 is about 1041.8941442686.

Adding to 1131021320 its reverse (231201311), we get a palindrome (1362222631).

Subtracting from 1131021320 its reverse (231201311), we obtain a square (899820009 = 299972).

The spelling of 1131021320 in words is "one billion, one hundred thirty-one million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 23 26 40 44 46 52 55 65 88 92 104 110 115 130 143 184 220 230 253 260 286 299 440 460 506 520 572 598 715 920 1012 1144 1196 1265 1430 1495 2024 2392 2530 2860 2990 3289 5060 5720 5980 6578 8597 10120 11960 13156 16445 17194 26312 32890 34388 42985 65780 68776 85970 94567 111761 131560 171940 189134 197731 223522 343880 378268 395462 447044 472835 558805 756536 790924 894088 945670 988655 1117610 1229371 1581848 1891340 1977310 2175041 2235220 2458742 2570503 3782680 3954620 4350082 4470440 4917484 5141006 6146855 7909240 8700164 9834968 10282012 10875205 12293710 12852515 17400328 20564024 21750410 24587420 25705030 28275533 43500820 49174840 51410060 56551066 87001640 102820120 113102132 141377665 226204264 282755330 565510660 1131021320