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13245525100 = 22521928124809
BaseRepresentation
bin11000101010111111…
…01010110001101100
31021012002210101120201
430111133222301230
5204111323300400
610030201323244
7646144051153
oct142537526154
937162711521
1013245525100
115687832065
122697a96524
131331208622
148d91dc59a
15527ca006a
hex3157eac6c

13245525100 has 72 divisors (see below), whose sum is σ = 30364462800. Its totient is φ = 5001292800.

The previous prime is 13245525089. The next prime is 13245525103. The reversal of 13245525100 is 152554231.

It is not an unprimeable number, because it can be changed into a prime (13245525103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521496 + ... + 546304.

It is an arithmetic number, because the mean of its divisors is an integer number (421728650).

Almost surely, 213245525100 is an apocalyptic number.

13245525100 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 13245525100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182231400).

13245525100 is an abundant number, since it is smaller than the sum of its proper divisors (17118937700).

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

13245525100 is a wasteful number, since it uses less digits than its factorization.

13245525100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25123 (or 25116 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 13245525100 in words is "thirteen billion, two hundred forty-five million, five hundred twenty-five thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 281 380 475 562 950 1124 1405 1900 2810 5339 5620 7025 10678 14050 21356 24809 26695 28100 49618 53390 99236 106780 124045 133475 248090 266950 471371 496180 533900 620225 942742 1240450 1885484 2356855 2480900 4713710 6971329 9427420 11784275 13942658 23568550 27885316 34856645 47137100 69713290 132455251 139426580 174283225 264910502 348566450 529821004 662276255 697132900 1324552510 2649105020 3311381275 6622762550 13245525100