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13121500 = 2253723163
BaseRepresentation
bin110010000011…
…011111011100
3220200122022111
4302003133130
511324342000
61145123404
7216350050
oct62033734
926618274
1013121500
117452417
124489564
132945602
141a57c60
151242cba
hexc837dc

13121500 has 96 divisors (see below), whose sum is σ = 34384896. Its totient is φ = 4276800.

The previous prime is 13121497. The next prime is 13121503. The reversal of 13121500 is 512131.

It is an interprime number because it is at equal distance from previous prime (13121497) and next prime (13121503).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121503) 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, 80419 + ... + 80581.

It is an arithmetic number, because the mean of its divisors is an integer number (358176).

Almost surely, 213121500 is an apocalyptic number.

13121500 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 13121500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17192448).

13121500 is an abundant number, since it is smaller than the sum of its proper divisors (21263396).

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

13121500 is a wasteful number, since it uses less digits than its factorization.

13121500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 13121500 is about 3622.3611084485. The cubic root of 13121500 is about 235.8637296230.

Adding to 13121500 its reverse (512131), we get a palindrome (13633631).

The spelling of 13121500 in words is "thirteen million, one hundred twenty-one thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 125 140 161 163 175 230 250 322 326 350 460 500 575 644 652 700 805 815 875 1141 1150 1610 1630 1750 2282 2300 2875 3220 3260 3500 3749 4025 4075 4564 5705 5750 7498 8050 8150 11410 11500 14996 16100 16300 18745 20125 20375 22820 26243 28525 37490 40250 40750 52486 57050 74980 80500 81500 93725 104972 114100 131215 142625 187450 262430 285250 374900 468625 524860 570500 656075 937250 1312150 1874500 2624300 3280375 6560750 13121500