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13250100 = 22352291523
BaseRepresentation
bin110010100010…
…111000110100
3220221011201110
4302202320310
511343000400
61151555020
7220424013
oct62427064
926834643
1013250100
11752aaa6
12452ba70
13298bcc6
141a8ca7a
15126ae50
hexca2e34

13250100 has 72 divisors (see below), whose sum is σ = 39684960. Its totient is φ = 3409280.

The previous prime is 13250009. The next prime is 13250101. The reversal of 13250100 is 105231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13250101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7939 + ... + 9461.

It is an arithmetic number, because the mean of its divisors is an integer number (551180).

Almost surely, 213250100 is an apocalyptic number.

13250100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842480).

13250100 is an abundant number, since it is smaller than the sum of its proper divisors (26434860).

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

13250100 is a wasteful number, since it uses less digits than its factorization.

13250100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 13250100 is about 3640.0686806707. The cubic root of 13250100 is about 236.6317698552.

Adding to 13250100 its reverse (105231), we get a palindrome (13355331).

The spelling of 13250100 in words is "thirteen million, two hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1523 1740 2175 2900 3046 4350 4569 6092 7615 8700 9138 15230 18276 22845 30460 38075 44167 45690 76150 88334 91380 114225 132501 152300 176668 220835 228450 265002 441670 456900 530004 662505 883340 1104175 1325010 2208350 2650020 3312525 4416700 6625050 13250100