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13301130 = 2352337521
BaseRepresentation
bin110010101111…
…010110001010
3221000202201110
4302233112022
511401114010
61153031150
7221025543
oct62572612
927022643
1013301130
117565377
1245554b6
1329a92bb
141aa34ca
15127b120
hexcaf58a

13301130 has 64 divisors (see below), whose sum is σ = 34276608. Its totient is φ = 3294720.

The previous prime is 13301129. The next prime is 13301131. The reversal of 13301130 is 3110331.

It is an interprime number because it is at equal distance from previous prime (13301129) and next prime (13301131).

It is not an unprimeable number, because it can be changed into a prime (13301131) by changing a digit.

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, 25270 + ... + 25790.

It is an arithmetic number, because the mean of its divisors is an integer number (535572).

Almost surely, 213301130 is an apocalyptic number.

13301130 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 13301130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17138304).

13301130 is an abundant number, since it is smaller than the sum of its proper divisors (20975478).

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

13301130 is a wasteful number, since it uses less digits than its factorization.

13301130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 13301130 is about 3647.0714278720. The cubic root of 13301130 is about 236.9351600294.

Adding to 13301130 its reverse (3110331), we get a palindrome (16411461).

It can be divided in two parts, 13301 and 130, that added together give a palindrome (13431).

The spelling of 13301130 in words is "thirteen million, three hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 222 230 345 370 521 555 690 851 1042 1110 1563 1702 2553 2605 3126 4255 5106 5210 7815 8510 11983 12765 15630 19277 23966 25530 35949 38554 57831 59915 71898 96385 115662 119830 179745 192770 289155 359490 443371 578310 886742 1330113 2216855 2660226 4433710 6650565 13301130