Search a number
-
+
816001131 = 311215114887
BaseRepresentation
bin110000101000110…
…011000001101011
32002212110011010010
4300220303001223
53132344014011
6212545423003
726135616021
oct6050630153
92085404103
10816001131
1138967a800
121a933aa63
1310009610a
147a532711
154b9881a6
hex30a3306b

816001131 has 24 divisors (see below), whose sum is σ = 1203903232. Its totient is φ = 491238000.

The previous prime is 816001111. The next prime is 816001133. The reversal of 816001131 is 131100618.

It is not a de Polignac number, because 816001131 - 25 = 816001099 is a prime.

It is a super-2 number, since 2×8160011312 = 1331715691586558322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 816001098 and 816001107.

It is not an unprimeable number, because it can be changed into a prime (816001133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47370 + ... + 62256.

Almost surely, 2816001131 is an apocalyptic number.

816001131 is a deficient number, since it is larger than the sum of its proper divisors (387902101).

816001131 is a wasteful number, since it uses less digits than its factorization.

816001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15063 (or 15052 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 816001131 is about 28565.7335106242. The cubic root of 816001131 is about 934.4661774032.

Adding to 816001131 its reverse (131100618), we get a palindrome (947101749).

The spelling of 816001131 in words is "eight hundred sixteen million, one thousand, one hundred thirty-one".

Divisors: 1 3 11 33 121 151 363 453 1661 4983 14887 18271 44661 54813 163757 491271 1801327 2247937 5403981 6743811 24727307 74181921 272000377 816001131