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13250512300 = 22521770111119
BaseRepresentation
bin11000101011100101…
…01100010110101100
31021012110011202201211
430111302230112230
5204114112343200
610030500244204
7646234332124
oct142562542654
937173152654
1013250512300
11568a629013
1226996a0664
13133226362c
148d9b39c84
15528437aba
hex315cac5ac

13250512300 has 72 divisors (see below), whose sum is σ = 30491173440. Its totient is φ = 4980864000.

The previous prime is 13250512279. The next prime is 13250512343. The reversal of 13250512300 is 321505231.

13250512300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1186141 + ... + 1197259.

It is an arithmetic number, because the mean of its divisors is an integer number (423488520).

Almost surely, 213250512300 is an apocalyptic number.

13250512300 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 13250512300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15245586720).

13250512300 is an abundant number, since it is smaller than the sum of its proper divisors (17240661140).

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

13250512300 is a wasteful number, since it uses less digits than its factorization.

13250512300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851 (or 11844 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The spelling of 13250512300 in words is "thirteen billion, two hundred fifty million, five hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 701 850 1402 1700 2804 3505 7010 11119 11917 14020 17525 22238 23834 35050 44476 47668 55595 59585 70100 111190 119170 189023 222380 238340 277975 297925 378046 555950 595850 756092 945115 1111900 1191700 1890230 3780460 4725575 7794419 9451150 15588838 18902300 31177676 38972095 77944190 132505123 155888380 194860475 265010246 389720950 530020492 662525615 779441900 1325051230 2650102460 3312628075 6625256150 13250512300