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1110132320 = 255113120347
BaseRepresentation
bin100001000101011…
…0100011001100000
32212100220120020212
41002022310121200
54233143213240
6302053553252
736336653243
oct10212643140
92770816225
101110132320
1151a705930
1226b945828
13148cba83b
14a761925a
15676d8165
hex422b4660

1110132320 has 96 divisors (see below), whose sum is σ = 2953552896. Its totient is φ = 390643200.

The previous prime is 1110132299. The next prime is 1110132367. The reversal of 1110132320 is 232310111.

It is a junction number, because it is equal to n+sod(n) for n = 1110132295 and 1110132304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44387 + ... + 64733.

It is an arithmetic number, because the mean of its divisors is an integer number (30766176).

Almost surely, 21110132320 is an apocalyptic number.

1110132320 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 1110132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476776448).

1110132320 is an abundant number, since it is smaller than the sum of its proper divisors (1843420576).

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

1110132320 is a wasteful number, since it uses less digits than its factorization.

1110132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20404 (or 20396 counting only the distinct ones).

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

The square root of 1110132320 is about 33318.6482318836. The cubic root of 1110132320 is about 1035.4399461470.

Adding to 1110132320 its reverse (232310111), we get a palindrome (1342442431).

The spelling of 1110132320 in words is "one billion, one hundred ten million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 20347 27280 40694 54560 81388 101735 162776 203470 223817 325552 406940 447634 630757 651104 813880 895268 1119085 1261514 1627760 1790536 2238170 2523028 3153785 3255520 3581072 4476340 5046056 6307570 6938327 7162144 8952680 10092112 12615140 13876654 17905360 20184224 25230280 27753308 34691635 35810720 50460560 55506616 69383270 100921120 111013232 138766540 222026464 277533080 555066160 1110132320