Search a number
-
+
1202200313301 = 3213412331075601
BaseRepresentation
bin10001011111101000101…
…110001111110111010101
311020221002101222121101200
4101133220232033313111
5124144101240011201
62320141100543113
7152566434025431
oct21375056176725
94227071877350
101202200313301
11423939810039
12174bb2551a99
13894a03c8b40
14422888479c1
1521412e6a386
hex117e8b8fdd5

1202200313301 has 48 divisors (see below), whose sum is σ = 1923924994992. Its totient is φ = 718672896000.

The previous prime is 1202200313267. The next prime is 1202200313317. The reversal of 1202200313301 is 1033130022021.

1202200313301 is a `hidden beast` number, since 120 + 2 + 200 + 313 + 30 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 586524690801 + 615675622500 = 765849^2 + 784650^2 .

It is not a de Polignac number, because 1202200313301 - 27 = 1202200313173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202200313201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579901 + ... + 1655501.

It is an arithmetic number, because the mean of its divisors is an integer number (40081770729).

Almost surely, 21202200313301 is an apocalyptic number.

It is an amenable number.

1202200313301 is a deficient number, since it is larger than the sum of its proper divisors (721724681691).

1202200313301 is a wasteful number, since it uses less digits than its factorization.

1202200313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075894 (or 1075891 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1202200313301 its reverse (1033130022021), we get a palindrome (2235330335322).

The spelling of 1202200313301 in words is "one trillion, two hundred two billion, two hundred million, three hundred thirteen thousand, three hundred one".

Divisors: 1 3 9 13 39 41 117 123 233 369 533 699 1599 2097 3029 4797 9087 9553 27261 28659 85977 124189 372567 1075601 1117701 3226803 9680409 13982813 41948439 44099641 125845317 132298923 250615033 396896769 573295333 751845099 1719885999 2255535297 3257995429 5159657997 9773986287 10275216353 29321958861 30825649059 92476947177 133577812589 400733437767 1202200313301