Search a number
-
+
201325134042 = 2351439287873
BaseRepresentation
bin1011101101111111101…
…0011100000011011010
3201020122200202110200000
42323133322130003122
511244303213242132
6232253144153430
720355011255364
oct2733772340332
9636580673600
10201325134042
1178421875aaa
1233027468876
1315ca5a17366
149a5c0a5d34
15538497b87c
hex2edfe9c0da

201325134042 has 48 divisors (see below), whose sum is σ = 452676107520. Its totient is φ = 67061509632.

The previous prime is 201325133981. The next prime is 201325134061. The reversal of 201325134042 is 240431523102.

201325134042 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 251 + 3 + 404 + 2 = 666.

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 = 201325133997 and 201325134015.

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 23 ways as a sum of consecutive naturals, for example, 555418 + ... + 843290.

It is an arithmetic number, because the mean of its divisors is an integer number (9430752240).

Almost surely, 2201325134042 is an apocalyptic number.

201325134042 is an abundant number, since it is smaller than the sum of its proper divisors (251350973478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201325134042 is a wasteful number, since it uses less digits than its factorization.

201325134042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289329 (or 289317 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 201325134042 its reverse (240431523102), we get a palindrome (441756657144).

The spelling of 201325134042 in words is "two hundred one billion, three hundred twenty-five million, one hundred thirty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1439 2878 4317 8634 12951 25902 38853 77706 116559 233118 287873 349677 575746 699354 863619 1727238 2590857 5181714 7772571 15545142 23317713 46635426 69953139 139906278 414249247 828498494 1242747741 2485495482 3728243223 7456486446 11184729669 22369459338 33554189007 67108378014 100662567021 201325134042