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1145003310 = 233511419403
BaseRepresentation
bin100010000111111…
…0101110100101110
32221210112012021000
41010033311310232
54321110101220
6305341221130
740242240033
oct10417656456
92853465230
101145003310
11538362a30
1227b5617a6
131532a9969
14ac0d538a
156a7c5390
hex443f5d2e

1145003310 has 128 divisors (see below), whose sum is σ = 3412523520. Its totient is φ = 270777600.

The previous prime is 1145003309. The next prime is 1145003323. The reversal of 1145003310 is 133005411.

It is a super-2 number, since 2×11450033102 = 2622065159821912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117069 + ... + 126471.

It is an arithmetic number, because the mean of its divisors is an integer number (26660340).

Almost surely, 21145003310 is an apocalyptic number.

1145003310 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 1145003310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706261760).

1145003310 is an abundant number, since it is smaller than the sum of its proper divisors (2267520210).

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

1145003310 is a wasteful number, since it uses less digits than its factorization.

1145003310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9471 (or 9465 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1145003310 is about 33837.8975410707. The cubic root of 1145003310 is about 1046.1699647157.

Adding to 1145003310 its reverse (133005411), we get a palindrome (1278008721).

The spelling of 1145003310 in words is "one billion, one hundred forty-five million, three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 41 45 54 55 66 82 90 99 110 123 135 165 198 205 246 270 297 330 369 410 451 495 594 615 738 902 990 1107 1230 1353 1485 1845 2214 2255 2706 2970 3690 4059 4510 5535 6765 8118 9403 11070 12177 13530 18806 20295 24354 28209 40590 47015 56418 60885 84627 94030 103433 121770 141045 169254 206866 253881 282090 310299 385523 423135 507762 517165 620598 771046 846270 930897 1034330 1156569 1269405 1551495 1861794 1927615 2313138 2538810 2792691 3102990 3469707 3855230 4240753 4654485 5585382 5782845 6939414 8481506 9308970 10409121 11565690 12722259 13963455 17348535 20818242 21203765 25444518 27926910 34697070 38166777 42407530 52045605 63611295 76333554 104091210 114500331 127222590 190833885 229000662 381667770 572501655 1145003310