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2107593125 = 5411229312
BaseRepresentation
bin111110110011111…
…0101000110100101
312102212210211020122
41331213311012211
513304020440000
6545045011325
7103141150241
oct17547650645
95385724218
102107593125
11991754a00
124a99b3b45
13277849031
1415dca5421
15c5067085
hex7d9f51a5

2107593125 has 90 divisors (see below), whose sum is σ = 3094376670. Its totient is φ = 1432200000.

The previous prime is 2107593121. The next prime is 2107593143. The reversal of 2107593125 is 5213957012.

It can be written as a sum of positive squares in 5 ways, for example, as 801059809 + 1306533316 = 28303^2 + 36146^2 .

It is not a de Polignac number, because 2107593125 - 22 = 2107593121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107593121) 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 89 ways as a sum of consecutive naturals, for example, 67986860 + ... + 67986890.

It is an arithmetic number, because the mean of its divisors is an integer number (34381963).

Almost surely, 22107593125 is an apocalyptic number.

2107593125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2107593125 is a deficient number, since it is larger than the sum of its proper divisors (986783545).

2107593125 is an equidigital number, since it uses as much as digits as its factorization.

2107593125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 2107593125 is about 45908.5299808216. The cubic root of 2107593125 is about 1282.1207366881.

The spelling of 2107593125 in words is "two billion, one hundred seven million, five hundred ninety-three thousand, one hundred twenty-five".

Divisors: 1 5 11 25 29 31 55 121 125 145 155 275 319 341 605 625 725 775 899 961 1375 1595 1705 3025 3509 3625 3751 3875 4495 4805 6875 7975 8525 9889 10571 15125 17545 18125 18755 19375 22475 24025 27869 39875 42625 49445 52855 75625 87725 93775 108779 112375 116281 120125 139345 199375 213125 247225 264275 306559 438625 468875 543895 561875 581405 600625 696725 1236125 1321375 1532795 2193125 2344375 2719475 2907025 3372149 3483625 6180625 6606875 7663975 13597375 14535125 16860745 17418125 38319875 67986875 72675625 84303725 191599375 421518625 2107593125