Search a number
-
+
312001131 = 31337216217
BaseRepresentation
bin10010100110001…
…100001001101011
3210202002022002110
4102212030021223
51114333014011
650543133403
710505652201
oct2246141153
9722068073
10312001131
11150131082
12885a4263
134c840470
142d619071
151c5ceba6
hex1298c26b

312001131 has 16 divisors (see below), whose sum is σ = 460111904. Its totient is φ = 186810624.

The previous prime is 312001127. The next prime is 312001133. The reversal of 312001131 is 131100213.

It is not a de Polignac number, because 312001131 - 22 = 312001127 is a prime.

It is a super-2 number, since 2×3120011312 = 194689411490558322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312001133) 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 15 ways as a sum of consecutive naturals, for example, 106666 + ... + 109551.

It is an arithmetic number, because the mean of its divisors is an integer number (28756994).

Almost surely, 2312001131 is an apocalyptic number.

312001131 is a deficient number, since it is larger than the sum of its proper divisors (148110773).

312001131 is a wasteful number, since it uses less digits than its factorization.

312001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216270.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 312001131 is about 17663.5537477598. The cubic root of 312001131 is about 678.2431081446.

Adding to 312001131 its reverse (131100213), we get a palindrome (443101344).

The spelling of 312001131 in words is "three hundred twelve million, one thousand, one hundred thirty-one".

Divisors: 1 3 13 37 39 111 481 1443 216217 648651 2810821 8000029 8432463 24000087 104000377 312001131