Search a number
-
+
202130031125 = 5311213363969
BaseRepresentation
bin1011110000111111100…
…0111000001000010101
3201022201210022110220002
42330033320320020111
511302430241444000
6232505100021045
720413653626201
oct2741770701025
9638653273802
10202130031125
11787a5151100
1233210b31785
13160a36c3219
149ad6d47b01
1553d046e8d5
hex2f0fe38215

202130031125 has 24 divisors (see below), whose sum is σ = 277275649560. Its totient is φ = 147003648000.

The previous prime is 202130031121. The next prime is 202130031133. The reversal of 202130031125 is 521130031202.

202130031125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22320957604 + 179809073521 = 149402^2 + 424039^2 .

It is not a de Polignac number, because 202130031125 - 22 = 202130031121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202130031097 and 202130031106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202130031121) 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 23 ways as a sum of consecutive naturals, for example, 6666860 + ... + 6697109.

It is an arithmetic number, because the mean of its divisors is an integer number (11553152065).

Almost surely, 2202130031125 is an apocalyptic number.

202130031125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

202130031125 is a deficient number, since it is larger than the sum of its proper divisors (75145618435).

202130031125 is a wasteful number, since it uses less digits than its factorization.

202130031125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364006 (or 13363985 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 202130031125 its reverse (521130031202), we get a palindrome (723260062327).

The spelling of 202130031125 in words is "two hundred two billion, one hundred thirty million, thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 1375 3025 15125 13363969 66819845 147003659 334099225 735018295 1617040249 1670496125 3675091475 8085201245 18375457375 40426006225 202130031125