Search a number
-
+
131343024303104 = 21023313776949
BaseRepresentation
bin11101110111010010101110…
…010011101010110000000000
3122020001021022012011210102112
4131313102232103222300000
5114203411003210144404
61143202052525434452
736444135404010155
oct3567225623526000
9566037265153375
10131343024303104
113893929a128109
12128931a910ba28
135839795175333
14246107184622c
15102b80074a56e
hex7774ae4eac00

131343024303104 has 176 divisors, whose sum is σ = 276498426744000. Its totient is φ = 62356906016768.

The previous prime is 131343024303089. The next prime is 131343024303109. The reversal of 131343024303104 is 401303420343131.

It is a happy number.

131343024303104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (131343024303109) 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 15 ways as a sum of consecutive naturals, for example, 1706845622 + ... + 1706922570.

Almost surely, 2131343024303104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131343024303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138249213372000).

131343024303104 is an abundant number, since it is smaller than the sum of its proper divisors (145155402440896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131343024303104 is an frugal number, since it uses more digits than its factorization.

131343024303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77175 (or 77111 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 131343024303104 its reverse (401303420343131), we get a palindrome (532646444646235).

The spelling of 131343024303104 in words is "one hundred thirty-one trillion, three hundred forty-three billion, twenty-four million, three hundred three thousand, one hundred four".