Search a number
-
+
20533131125 = 5313113111821
BaseRepresentation
bin10011000111110111…
…101011011101110101
31221222222201010122222
4103013313223131311
5314022440144000
613233252132125
71324554510023
oct230767533565
957888633588
1020533131125
118787465361
123b90607045
131c22c8cc40
14dcb023713
1580297aa85
hex4c7deb775

20533131125 has 32 divisors (see below), whose sum is σ = 27840994272. Its totient is φ = 15028608000.

The previous prime is 20533131107. The next prime is 20533131161. The reversal of 20533131125 is 52113133502.

It can be written as a sum of positive squares in 16 ways, for example, as 20357011684 + 176119441 = 142678^2 + 13271^2 .

It is not a de Polignac number, because 20533131125 - 28 = 20533130869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20533131094 and 20533131103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127715 + ... + 239535.

It is an arithmetic number, because the mean of its divisors is an integer number (870031071).

Almost surely, 220533131125 is an apocalyptic number.

20533131125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20533131125 is a deficient number, since it is larger than the sum of its proper divisors (7307863147).

20533131125 is a wasteful number, since it uses less digits than its factorization.

20533131125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111962 (or 111952 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 20533131125 its reverse (52113133502), we get a palindrome (72646264627).

The spelling of 20533131125 in words is "twenty billion, five hundred thirty-three million, one hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 113 125 325 565 1469 1625 2825 7345 14125 36725 111821 183625 559105 1453673 2795525 7268365 12635773 13977625 36341825 63178865 164265049 181709125 315894325 821325245 1579471625 4106626225 20533131125