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1130410410 = 235172299679
BaseRepresentation
bin100001101100000…
…1011000110101010
32220210001210120020
41003120023012222
54303341113120
6304100341310
740004221113
oct10330130652
92823053506
101130410410
115300a6088
122766a4836
1315026a6cc
14aa1b720a
1569391640
hex4360b1aa

1130410410 has 64 divisors (see below), whose sum is σ = 2885414400. Its totient is φ = 282442752.

The previous prime is 1130410409. The next prime is 1130410433. The reversal of 1130410410 is 140140311.

It is a super-3 number, since 3×11304104103 (a number of 28 digits) contains 333 as substring.

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 1130410410.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111951 + ... + 121629.

It is an arithmetic number, because the mean of its divisors is an integer number (45084600).

Almost surely, 21130410410 is an apocalyptic number.

1130410410 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 1130410410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442707200).

1130410410 is an abundant number, since it is smaller than the sum of its proper divisors (1755003990).

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

1130410410 is a wasteful number, since it uses less digits than its factorization.

1130410410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9935.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1130410410 is about 33621.5765543497. The cubic root of 1130410410 is about 1041.7065208716.

Adding to 1130410410 its reverse (140140311), we get a palindrome (1270550721).

The spelling of 1130410410 in words is "one billion, one hundred thirty million, four hundred ten thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 229 255 458 510 687 1145 1374 2290 3435 3893 6870 7786 9679 11679 19358 19465 23358 29037 38930 48395 58074 58395 96790 116790 145185 164543 290370 329086 493629 822715 987258 1645430 2216491 2468145 4432982 4936290 6649473 11082455 13298946 22164910 33247365 37680347 66494730 75360694 113041041 188401735 226082082 376803470 565205205 1130410410