Search a number
-
+
131344500332241 = 32719109728070453
BaseRepresentation
bin11101110111010100000110…
…010010010001011011010001
3122020001102010001120211202100
4131313110012102101123101
5114203422014041112431
61143202455214111013
736444220106030130
oct3567240622213321
9566042101524670
10131344500332241
11389399873256a9
121289353b4ab469
13583996bbc3961
1424611718a9917
15102b88a10c4e6
hex7775064916d1

131344500332241 has 24 divisors (see below), whose sum is σ = 228234386544320. Its totient is φ = 71103789652896.

The previous prime is 131344500332209. The next prime is 131344500332251. The reversal of 131344500332241 is 142233005443131.

131344500332241 is a `hidden beast` number, since 1 + 3 + 1 + 34 + 4 + 50 + 0 + 332 + 241 = 666.

It is not a de Polignac number, because 131344500332241 - 25 = 131344500332209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131344500332196 and 131344500332205.

It is not an unprimeable number, because it can be changed into a prime (131344500332251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54864034030 + ... + 54864036423.

Almost surely, 2131344500332241 is an apocalyptic number.

It is an amenable number.

131344500332241 is a deficient number, since it is larger than the sum of its proper divisors (96889886212079).

131344500332241 is a wasteful number, since it uses less digits than its factorization.

131344500332241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109728070485 (or 109728070482 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 131344500332241 its reverse (142233005443131), we get a palindrome (273577505775372).

The spelling of 131344500332241 in words is "one hundred thirty-one trillion, three hundred forty-four billion, five hundred million, three hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 109728070453 329184211359 768096493171 987552634077 2084833338607 2304289479513 6254500015821 6912868438539 14593833370249 18763500047463 43781500110747 131344500332241