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113130450 = 23252298669
BaseRepresentation
bin1101011111000…
…11101111010010
321212212121210200
412233203233102
5212430133300
615120440030
72542410246
oct657435722
9255777720
10113130450
115894a644
1231a79016
131a5901c4
141104c426
159dea200
hex6be3bd2

113130450 has 72 divisors (see below), whose sum is σ = 314460900. Its totient is φ = 29124480.

The previous prime is 113130443. The next prime is 113130467. The reversal of 113130450 is 54031311.

It can be written as a sum of positive squares in 6 ways, for example, as 39050001 + 74080449 = 6249^2 + 8607^2 .

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

It is a Curzon 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 35 ways as a sum of consecutive naturals, for example, 8716 + ... + 17384.

Almost surely, 2113130450 is an apocalyptic number.

113130450 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 113130450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157230450).

113130450 is an abundant number, since it is smaller than the sum of its proper divisors (201330450).

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

113130450 is a wasteful number, since it uses less digits than its factorization.

113130450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8716 (or 8708 counting only the distinct ones).

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

The square root of 113130450 is about 10636.2798947752. The cubic root of 113130450 is about 483.6447801120.

Adding to 113130450 its reverse (54031311), we get a palindrome (167161761).

The spelling of 113130450 in words is "one hundred thirteen million, one hundred thirty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 4350 6525 8669 13050 17338 26007 43345 52014 78021 86690 130035 156042 216725 251401 260070 390105 433450 502802 650175 754203 780210 1257005 1300350 1508406 1950525 2262609 2514010 3771015 3901050 4525218 6285025 7542030 11313045 12570050 18855075 22626090 37710150 56565225 113130450