Search a number
-
+
131322332221003 = 7211243640690577
BaseRepresentation
bin11101110110111111011100…
…111101101000111001001011
3122012222021220010101010000101
4131312333130331220321023
5114203041114022033003
61143144351354350231
736442503546140200
oct3566773475507113
9565867803333011
10131322332221003
1138930540a77610
121288b19342b377
1358378482a1281
14246006b687ca7
15102aeddd7311d
hex776fdcf68e4b

131322332221003 has 12 divisors (see below), whose sum is σ = 166650232355352. Its totient is φ = 102329090041920.

The previous prime is 131322332220971. The next prime is 131322332221019. The reversal of 131322332221003 is 300122233223131.

It is a happy number.

It is not a de Polignac number, because 131322332221003 - 25 = 131322332220971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131322332221033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121820344750 + ... + 121820345827.

It is an arithmetic number, because the mean of its divisors is an integer number (13887519362946).

Almost surely, 2131322332221003 is an apocalyptic number.

131322332221003 is a deficient number, since it is larger than the sum of its proper divisors (35327900134349).

131322332221003 is a wasteful number, since it uses less digits than its factorization.

131322332221003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243640690602 (or 243640690595 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 131322332221003 its reverse (300122233223131), we get a palindrome (431444565444134).

The spelling of 131322332221003 in words is "one hundred thirty-one trillion, three hundred twenty-two billion, three hundred thirty-two million, two hundred twenty-one thousand, three".

Divisors: 1 7 11 49 77 539 243640690577 1705484834039 2680047596347 11938393838273 18760333174429 131322332221003