Search a number
-
+
131001204301 = 1124332500357
BaseRepresentation
bin111101000000001000…
…1111011111001001101
3110112010200212200201121
41322000101323321031
54121242302014201
6140103042240541
712315221602222
oct1720021737115
9415120780647
10131001204301
1150614845800
1221480056151
13c479443c06
1464aa44b949
15361abd19a1
hex1e8047be4d

131001204301 has 12 divisors (see below), whose sum is σ = 144325664476. Its totient is φ = 118816917120.

The previous prime is 131001204253. The next prime is 131001204311. The reversal of 131001204301 is 103402100131.

It can be written as a sum of positive squares in 2 ways, for example, as 18876012100 + 112125192201 = 137390^2 + 334851^2 .

It is not a de Polignac number, because 131001204301 - 211 = 131001202253 is a prime.

It is a super-2 number, since 2×1310012043012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001204311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1197786 + ... + 1302571.

Almost surely, 2131001204301 is an apocalyptic number.

131001204301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131001204301 is a deficient number, since it is larger than the sum of its proper divisors (13324460175).

131001204301 is a wasteful number, since it uses less digits than its factorization.

131001204301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500812 (or 2500801 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131001204301 its reverse (103402100131), we get a palindrome (234403304432).

The spelling of 131001204301 in words is "one hundred thirty-one billion, one million, two hundred four thousand, three hundred one".

Divisors: 1 11 121 433 4763 52393 2500357 27503927 302543197 1082654581 11909200391 131001204301