Search a number
-
+
32301201321301 = 11311492272800607
BaseRepresentation
bin1110101100000101101011…
…01000010110110101010101
311020100222001020222002012211
413112002311220112311111
513213210330014240201
6152410544513513421
76542453611030243
oct726026550266525
9136328036862184
1032301201321301
11a323954067660
123758232b72871
131503cb4669c13
147d955a733793
153b0365b62651
hex1d60b5a16d55

32301201321301 has 32 divisors (see below), whose sum is σ = 36779824742400. Its totient is φ = 28102400846400.

The previous prime is 32301201321299. The next prime is 32301201321343. The reversal of 32301201321301 is 10312310210323.

It is a cyclic number.

It is not a de Polignac number, because 32301201321301 - 21 = 32301201321299 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32301201321601) by changing a digit.

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, 10133340 + ... + 12933946.

It is an arithmetic number, because the mean of its divisors is an integer number (1149369523200).

Almost surely, 232301201321301 is an apocalyptic number.

32301201321301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

32301201321301 is a deficient number, since it is larger than the sum of its proper divisors (4478623421099).

32301201321301 is a wasteful number, since it uses less digits than its factorization.

32301201321301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801025.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 32301201321301 its reverse (10312310210323), we get a palindrome (42613511531624).

The spelling of 32301201321301 in words is "thirty-two trillion, three hundred one billion, two hundred one million, three hundred twenty-one thousand, three hundred one".

Divisors: 1 11 31 149 227 341 1639 2497 4619 7037 33823 50809 77407 372053 1048513 2800607 11533643 30806677 86818817 417290443 635737789 955006987 4590194873 6993115679 12936003733 19707871459 94724930561 142296041063 216786586049 1041974236171 2936472847391 32301201321301