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2125352331 = 331915127437
BaseRepresentation
bin111111010101110…
…0100110110001011
312111010020002022000
41332223210312023
513323042233311
6550521402043
7103445124324
oct17653446613
95433202260
102125352331
119a0784733
124b3939323
1327b42653b
141623a944b
15c68c4056
hex7eae4d8b

2125352331 has 32 divisors (see below), whose sum is σ = 3336460800. Its totient is φ = 1333389600.

The previous prime is 2125352323. The next prime is 2125352351. The reversal of 2125352331 is 1332535212.

It is a happy number.

It is not a de Polignac number, because 2125352331 - 23 = 2125352323 is a prime.

It is a super-2 number, since 2×21253523312 = 9034245061774267122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2125352295 and 2125352304.

It is not an unprimeable number, because it can be changed into a prime (2125352321) 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 31 ways as a sum of consecutive naturals, for example, 63745 + ... + 91181.

It is an arithmetic number, because the mean of its divisors is an integer number (104264400).

Almost surely, 22125352331 is an apocalyptic number.

2125352331 is a deficient number, since it is larger than the sum of its proper divisors (1211108469).

2125352331 is a wasteful number, since it uses less digits than its factorization.

2125352331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27616 (or 27610 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 2125352331 is about 46101.5436943276. The cubic root of 2125352331 is about 1285.7118456938.

Adding to 2125352331 its reverse (1332535212), we get a palindrome (3457887543).

The spelling of 2125352331 in words is "two billion, one hundred twenty-five million, three hundred fifty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 19 27 57 151 171 453 513 1359 2869 4077 8607 25821 27437 77463 82311 246933 521303 740799 1563909 4142987 4691727 12428961 14075181 37286883 78716753 111860649 236150259 708450777 2125352331