Search a number
-
+
20312552041 = 293797195161
BaseRepresentation
bin10010111010101110…
…001111001001101001
31221102121122120001021
4102322232033021221
5313100003131131
613155332252441
71316235562225
oct227256171151
957377576037
1020312552041
1186839a6aa1
123b2a771121
131bb937ba82
14da9a05785
157dd408e11
hex4bab8f269

20312552041 has 16 divisors (see below), whose sum is σ = 21803498640. Its totient is φ = 18885242880.

The previous prime is 20312552023. The next prime is 20312552083. The reversal of 20312552041 is 14025521302.

It can be written as a sum of positive squares in 8 ways, for example, as 1599680016 + 18712872025 = 39996^2 + 136795^2 .

It is a cyclic number.

It is not a de Polignac number, because 20312552041 - 219 = 20312027753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20312551997 and 20312552015.

It is not an unprimeable number, because it can be changed into a prime (20312552641) 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 15 ways as a sum of consecutive naturals, for example, 6501 + ... + 201661.

It is an arithmetic number, because the mean of its divisors is an integer number (1362718665).

Almost surely, 220312552041 is an apocalyptic number.

It is an amenable number.

20312552041 is a deficient number, since it is larger than the sum of its proper divisors (1490946599).

20312552041 is a wasteful number, since it uses less digits than its factorization.

20312552041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195324.

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 20312552041 in words is "twenty billion, three hundred twelve million, five hundred fifty-two thousand, forty-one".

Divisors: 1 29 37 97 1073 2813 3589 104081 195161 5659669 7220957 18930617 209407753 548987893 700432829 20312552041