Search a number
-
+
203311131321 = 317193141165079
BaseRepresentation
bin1011110101011001001…
…0011010101010111001
3201102210002202120202210
42331112102122222321
511312340122200241
6233222211045333
720455145050044
oct2752622325271
9642702676683
10203311131321
1179250919171
12334a05a0849
13162312cac8c
149ba9b57c5b
15544dec5316
hex2f5649aab9

203311131321 has 64 divisors (see below), whose sum is σ = 319489228800. Its totient is φ = 114101913600.

The previous prime is 203311131301. The next prime is 203311131323. The reversal of 203311131321 is 123131113302.

It is a happy number.

It is not a de Polignac number, because 203311131321 - 225 = 203277576889 is a prime.

It is a super-2 number, since 2×2033111313212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203311131323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1149060 + ... + 1314138.

It is an arithmetic number, because the mean of its divisors is an integer number (4992019200).

Almost surely, 2203311131321 is an apocalyptic number.

It is an amenable number.

203311131321 is a deficient number, since it is larger than the sum of its proper divisors (116178097479).

203311131321 is a wasteful number, since it uses less digits than its factorization.

203311131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165190.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 203311131321 its reverse (123131113302), we get a palindrome (326442244623).

The spelling of 203311131321 in words is "two hundred three billion, three hundred eleven million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 17 19 31 41 51 57 93 123 323 527 589 697 779 969 1271 1581 1767 2091 2337 3813 10013 13243 21607 24149 30039 39729 64821 72447 165079 410533 495237 1231599 2806343 3136501 5117449 6768239 8419029 9409503 15352347 20304717 53320517 86996633 97231531 115060063 128596541 159961551 209815409 260989899 291694593 345180189 385789623 629446227 1652936027 2186141197 3566861953 3986492771 4958808081 6558423591 10700585859 11959478313 67770377107 203311131321