Search a number
-
+
135325201332 = 22319758499787
BaseRepresentation
bin111111000001000000…
…0101011001110110100
3110221022001020111112210
41332002000223032310
54204121222420312
6142100104413420
712530325142446
oct1760200531664
9427261214483
10135325201332
1152433603772
1222288177270
13c9b8215c39
14679a820496
1537c0605e3c
hex1f8202b3b4

135325201332 has 48 divisors (see below), whose sum is σ = 317448331200. Its totient is φ = 44867165952.

The previous prime is 135325201309. The next prime is 135325201339. The reversal of 135325201332 is 233102523531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135325201332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135325201339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13822143 + ... + 13831929.

It is an arithmetic number, because the mean of its divisors is an integer number (6613506900).

Almost surely, 2135325201332 is an apocalyptic number.

135325201332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135325201332 is an abundant number, since it is smaller than the sum of its proper divisors (182123129868).

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

135325201332 is a wasteful number, since it uses less digits than its factorization.

135325201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15840 (or 15838 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 135325201332 its reverse (233102523531), we get a palindrome (368427724863).

The spelling of 135325201332 in words is "one hundred thirty-five billion, three hundred twenty-five million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 197 394 591 788 1182 2364 5849 9787 11698 17547 19574 23396 29361 35094 39148 58722 70188 117444 1152253 1928039 2304506 3456759 3856078 4609012 5784117 6913518 7712156 11568234 13827036 23136468 57244163 114488326 171732489 228976652 343464978 686929956 11277100111 22554200222 33831300333 45108400444 67662600666 135325201332