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1121332110 = 235234771487
BaseRepresentation
bin100001011010110…
…0010101110001110
32220010222120110220
41002311202232032
54244030111420
6303134012210
736534110553
oct10265425616
92803876426
101121332110
11525a65458
12273647066
1314b40c532
14a8cd2a2a
156869b840
hex42d62b8e

1121332110 has 128 divisors (see below), whose sum is σ = 2914320384. Its totient is φ = 275425920.

The previous prime is 1121332099. The next prime is 1121332117. The reversal of 1121332110 is 112331211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1121332110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121332117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2302287 + ... + 2302773.

It is an arithmetic number, because the mean of its divisors is an integer number (22768128).

Almost surely, 21121332110 is an apocalyptic number.

1121332110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121332110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457160192).

1121332110 is an abundant number, since it is smaller than the sum of its proper divisors (1792988274).

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

1121332110 is a wasteful number, since it uses less digits than its factorization.

1121332110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1121332110 is about 33486.2973468253. The cubic root of 1121332110 is about 1038.9103818474.

Adding to 1121332110 its reverse (112331211), we get a palindrome (1233663321).

The spelling of 1121332110 in words is "one billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 69 71 94 115 138 141 142 213 230 235 282 345 355 426 470 487 690 705 710 974 1065 1081 1410 1461 1633 2130 2162 2435 2922 3243 3266 3337 4870 4899 5405 6486 6674 7305 8165 9798 10011 10810 11201 14610 16215 16330 16685 20022 22402 22889 24495 32430 33370 33603 34577 45778 48990 50055 56005 67206 68667 69154 76751 100110 103731 112010 114445 137334 153502 168015 172885 207462 228890 230253 336030 343335 345770 383755 460506 518655 526447 686670 767510 795271 1037310 1052894 1151265 1579341 1590542 1625119 2302530 2385813 2632235 3158682 3250238 3976355 4771626 4875357 5264470 7896705 7952710 8125595 9750714 11929065 15793410 16251190 23858130 24376785 37377737 48753570 74755474 112133211 186888685 224266422 373777370 560666055 1121332110