Search a number
-
+
131223340424340 = 22335887590346411
BaseRepresentation
bin11101110101100011010000…
…100101111001110010010100
3122012121211101012211210202000
4131311203100211321302110
5114144430400122034330
61143031100444515300
736432400463560053
oct3565432045716224
9565554335753660
10131223340424340
11388a256275860a
1212873b6724bb30
13582b400611868
14245935a4ac39a
1510286483da560
hex7758d0979c94

131223340424340 has 192 divisors, whose sum is σ = 408788697784320. Its totient is φ = 34946765642880.

The previous prime is 131223340424327. The next prime is 131223340424357. The reversal of 131223340424340 is 43424043322131.

131223340424340 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 3 + 3 + 404 + 243 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131223340424295 and 131223340424304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2827395735 + ... + 2827442145.

It is an arithmetic number, because the mean of its divisors is an integer number (2129107800960).

Almost surely, 2131223340424340 is an apocalyptic number.

131223340424340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131223340424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204394348892160).

131223340424340 is an abundant number, since it is smaller than the sum of its proper divisors (277565357359980).

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

131223340424340 is a wasteful number, since it uses less digits than its factorization.

131223340424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53219 (or 53211 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 131223340424340 its reverse (43424043322131), we get a palindrome (174647383746471).

The spelling of 131223340424340 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, three hundred forty million, four hundred twenty-four thousand, three hundred forty".