Search a number
-
+
323233211300013 = 3373023565738879
BaseRepresentation
bin100100101111110101001100…
…0101111010011100010101101
31120101110210102020212220022000
41021133222120233103202231
5314331323104043100023
63103243142021242513
7125040554205224460
oct11137523057234255
91511423366786260
10323233211300013
1193aa0487119713
1230304918563439
1310b489b7cc6a11
1459b67dc7a32d7
152758086db8243
hex125fa98bd38ad

323233211300013 has 32 divisors (see below), whose sum is σ = 547454199398400. Its totient is φ = 184643592046128.

The previous prime is 323233211299981. The next prime is 323233211300017. The reversal of 323233211300013 is 310003112332323.

323233211300013 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 332 + 11 + 300 + 0 + 13 = 666.

It is not a de Polignac number, because 323233211300013 - 25 = 323233211299981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 323233211300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323233211300017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282298093 + ... + 283440786.

It is an arithmetic number, because the mean of its divisors is an integer number (17107943731200).

Almost surely, 2323233211300013 is an apocalyptic number.

It is an amenable number.

323233211300013 is a deficient number, since it is larger than the sum of its proper divisors (224220988098387).

323233211300013 is a wasteful number, since it uses less digits than its factorization.

323233211300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565741918 (or 565741912 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 323233211300013 its reverse (310003112332323), we get a palindrome (633236323632336).

The spelling of 323233211300013 in words is "three hundred twenty-three trillion, two hundred thirty-three billion, two hundred eleven million, three hundred thousand, thirteen".

Divisors: 1 3 7 9 21 27 63 189 3023 9069 21161 27207 63483 81621 190449 571347 565738879 1697216637 3960172153 5091649911 11880516459 15274949733 35641549377 106924648131 1710228631217 5130685893651 11971600418519 15392057680953 35914801255557 46176173042859 107744403766671 323233211300013