Search a number
-
+
201213100125 = 3253178856089
BaseRepresentation
bin1011101101100100111…
…1000100000001011101
3201020100212221120000200
42323121033010001131
511244041023201000
6232234103014113
720352151063032
oct2733117040135
9636325846020
10201213100125
1178374605294
1232bb5a3a339
1315c8874c2bb
149a4b261389
155379beb500
hex2ed93c405d

201213100125 has 24 divisors (see below), whose sum is σ = 362720150520. Its totient is φ = 107313652800.

The previous prime is 201213100117. The next prime is 201213100181. The reversal of 201213100125 is 521001312102.

201213100125 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 64169502489 + 137043597636 = 253317^2 + 370194^2 .

It is not a de Polignac number, because 201213100125 - 23 = 201213100117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201213100098 and 201213100107.

It is a congruent number.

It is an unprimeable number.

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, 89426920 + ... + 89429169.

It is an arithmetic number, because the mean of its divisors is an integer number (15113339605).

Almost surely, 2201213100125 is an apocalyptic number.

201213100125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201213100125 is a deficient number, since it is larger than the sum of its proper divisors (161507050395).

201213100125 is a wasteful number, since it uses less digits than its factorization.

201213100125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178856110 (or 178856097 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 201213100125 its reverse (521001312102), we get a palindrome (722214412227).

The spelling of 201213100125 in words is "two hundred one billion, two hundred thirteen million, one hundred thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 178856089 536568267 894280445 1609704801 2682841335 4471402225 8048524005 13414206675 22357011125 40242620025 67071033375 201213100125