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2133434125 = 5317273809
BaseRepresentation
bin111111100101001…
…1001111100001101
312111200102200102201
41333022121330031
513332124343000
6551410521501
7103603614364
oct17712317415
95450380381
102133434125
119a52a46a9
124b6596291
1327ccc5c74
141634b07db
15c746d96a
hex7f299f0d

2133434125 has 48 divisors (see below), whose sum is σ = 2870646480. Its totient is φ = 1582387200.

The previous prime is 2133434123. The next prime is 2133434137. The reversal of 2133434125 is 5214343312.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 1194808356 + 938625769 = 34566^2 + 30637^2 .

It is not a de Polignac number, because 2133434125 - 21 = 2133434123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2133434093 and 2133434102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133434123) 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 47 ways as a sum of consecutive naturals, for example, 2636721 + ... + 2637529.

It is an arithmetic number, because the mean of its divisors is an integer number (59805135).

Almost surely, 22133434125 is an apocalyptic number.

2133434125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2133434125 is a deficient number, since it is larger than the sum of its proper divisors (737212355).

2133434125 is an equidigital number, since it uses as much as digits as its factorization.

2133434125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 904 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 2133434125 is about 46189.1126240806. The cubic root of 2133434125 is about 1287.3394527558.

Adding to 2133434125 its reverse (5214343312), we get a palindrome (7347777437).

The spelling of 2133434125 in words is "two billion, one hundred thirty-three million, four hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 5 17 25 73 85 125 289 365 425 809 1241 1445 1825 2125 4045 6205 7225 9125 13753 20225 21097 31025 36125 59057 68765 101125 105485 155125 233801 295285 343825 527425 1003969 1169005 1476425 1719125 2637125 5019845 5845025 7382125 17067473 25099225 29225125 85337365 125496125 426686825 2133434125