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1120012320 = 25357333337
BaseRepresentation
bin100001011000010…
…0000100000100000
32220001111112001210
41002300200200200
54243210343240
6303045430120
736516643020
oct10260404040
92801445053
101120012320
11525243919
1227310b340
1314b0698ab
14a8a6ba80
15684da780
hex42c20820

1120012320 has 96 divisors (see below), whose sum is σ = 4032056448. Its totient is φ = 256002048.

The previous prime is 1120012319. The next prime is 1120012321. The reversal of 1120012320 is 232100211.

It is an interprime number because it is at equal distance from previous prime (1120012319) and next prime (1120012321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

1120012320 is a modest number, since divided by 12320 gives 1120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1120012296 and 1120012305.

It is not an unprimeable number, because it can be changed into a prime (1120012321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163309 + ... + 170028.

It is an arithmetic number, because the mean of its divisors is an integer number (42000588).

Almost surely, 21120012320 is an apocalyptic number.

1120012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120012320 is an abundant number, since it is smaller than the sum of its proper divisors (2912044128).

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

1120012320 is a wasteful number, since it uses less digits than its factorization.

1120012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333362 (or 333354 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1120012320 is about 33466.5851260627. The cubic root of 1120012320 is about 1038.5026281853.

Adding to 1120012320 its reverse (232100211), we get a palindrome (1352112531).

The spelling of 1120012320 in words is "one billion, one hundred twenty million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 333337 666674 1000011 1333348 1666685 2000022 2333359 2666696 3333370 4000044 4666718 5000055 5333392 6666740 7000077 8000088 9333436 10000110 10666784 11666795 13333480 14000154 16000176 18666872 20000220 23333590 26666960 28000308 32000352 35000385 37333744 40000440 46667180 53333920 56000616 70000770 74667488 80000880 93334360 112001232 140001540 160001760 186668720 224002464 280003080 373337440 560006160 1120012320