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2132110125 = 32536131069
BaseRepresentation
bin111111100010101…
…0110101100101101
312111120221102020200
41333011112230231
513331310011000
6551322304113
7103556431335
oct17705265455
95446842220
102132110125
119a457a992
124b6058039
1327c951432
141632480c5
15c72ab500
hex7f156b2d

2132110125 has 48 divisors (see below), whose sum is σ = 3906617520. Its totient is φ = 1118448000.

The previous prime is 2132110111. The next prime is 2132110171. The reversal of 2132110125 is 5210112312.

It can be written as a sum of positive squares in 8 ways, for example, as 1254647241 + 877462884 = 35421^2 + 29622^2 .

It is not a de Polignac number, because 2132110125 - 24 = 2132110109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2132110098 and 2132110107.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 53091 + ... + 84159.

It is an arithmetic number, because the mean of its divisors is an integer number (81387865).

Almost surely, 22132110125 is an apocalyptic number.

2132110125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2132110125 is a deficient number, since it is larger than the sum of its proper divisors (1774507395).

2132110125 is a wasteful number, since it uses less digits than its factorization.

2132110125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31151 (or 31138 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2132110125 is about 46174.7780178747. The cubic root of 2132110125 is about 1287.0730918800.

Adding to 2132110125 its reverse (5210112312), we get a palindrome (7342222437).

The spelling of 2132110125 in words is "two billion, one hundred thirty-two million, one hundred ten thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 125 183 225 305 375 549 915 1125 1525 2745 4575 7625 13725 22875 31069 68625 93207 155345 279621 466035 776725 1398105 1895209 2330175 3883625 5685627 6990525 9476045 11650875 17056881 28428135 34952625 47380225 85284405 142140675 236901125 426422025 710703375 2132110125