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13310010 = 2325737571
BaseRepresentation
bin110010110001…
…100000111010
3221001012220100
4302301200322
511401410020
61153140230
7221063460
oct62614072
927035810
1013310010
11757100a
12455a676
1329b035c
141aa6830
15127da90
hexcb183a

13310010 has 96 divisors (see below), whose sum is σ = 40689792. Its totient is φ = 2954880.

The previous prime is 13310009. The next prime is 13310053. The reversal of 13310010 is 1001331.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 13309974 and 13310001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23025 + ... + 23595.

It is an arithmetic number, because the mean of its divisors is an integer number (423852).

Almost surely, 213310010 is an apocalyptic number.

13310010 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 13310010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20344896).

13310010 is an abundant number, since it is smaller than the sum of its proper divisors (27379782).

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

13310010 is a wasteful number, since it uses less digits than its factorization.

13310010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 13310010 is about 3648.2886398968. The cubic root of 13310010 is about 236.9878752543.

Adding to 13310010 its reverse (1001331), we get a palindrome (14311341).

The spelling of 13310010 in words is "thirteen million, three hundred ten thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 571 630 666 777 1110 1142 1295 1554 1665 1713 2331 2590 2855 3330 3426 3885 3997 4662 5139 5710 7770 7994 8565 10278 11655 11991 17130 19985 21127 23310 23982 25695 35973 39970 42254 51390 59955 63381 71946 105635 119910 126762 147889 179865 190143 211270 295778 316905 359730 380286 443667 633810 739445 887334 950715 1331001 1478890 1901430 2218335 2662002 4436670 6655005 13310010