Search a number
-
+
100520463231 = 3273152999183
BaseRepresentation
bin101110110011101111…
…1001000101101111111
3100121110102222121120200
41131213133020231333
53121331214310411
6114102314214543
710155663561006
oct1354737105577
9317412877520
10100520463231
11396a31a9901
1217594124453
13962c5aaa56
144c18221c3d
152934c95e56
hex17677c8b7f

100520463231 has 12 divisors (see below), whose sum is σ = 147185215008. Its totient is φ = 66095646624.

The previous prime is 100520463209. The next prime is 100520463287. The reversal of 100520463231 is 132364025001.

100520463231 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 20 + 4 + 632 + 3 + 1 = 666.

It is not a de Polignac number, because 100520463231 - 27 = 100520463103 is a prime.

It is a super-2 number, since 2×1005204632312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100520463195 and 100520463204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100520463331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76498935 + ... + 76500248.

It is an arithmetic number, because the mean of its divisors is an integer number (12265434584).

Almost surely, 2100520463231 is an apocalyptic number.

100520463231 is a deficient number, since it is larger than the sum of its proper divisors (46664751777).

100520463231 is a wasteful number, since it uses less digits than its factorization.

100520463231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152999262 (or 152999259 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 100520463231 its reverse (132364025001), we get a palindrome (232884488232).

The spelling of 100520463231 in words is "one hundred billion, five hundred twenty million, four hundred sixty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 73 219 657 152999183 458997549 1376992647 11168940359 33506821077 100520463231