Search a number
-
+
131343203342340 = 22325111812391533437
BaseRepresentation
bin11101110111010010111000…
…111110101001100000000100
3122020001021202200001221002100
4131313102320332221200010
5114203411340023423330
61143202122403112100
736444143006554353
oct3567227076514004
9566037680057070
10131343203342340
11389393811a3a20
1212893239072630
1358397c32a0b02
14246108b52d99a
15102b811314060
hex7774b8fa9804

131343203342340 has 288 divisors, whose sum is σ = 438856706695680. Its totient is φ = 31532351155200.

The previous prime is 131343203342311. The next prime is 131343203342383. The reversal of 131343203342340 is 43243302343131.

131343203342340 is a `hidden beast` number, since 1 + 3 + 134 + 32 + 0 + 33 + 423 + 40 = 666.

131343203342340 is digitally balanced in base 4, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 131343203342295 and 131343203342304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84886102 + ... + 86419538.

It is an arithmetic number, because the mean of its divisors is an integer number (1523808009360).

Almost surely, 2131343203342340 is an apocalyptic number.

131343203342340 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 131343203342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219428353347840).

131343203342340 is an abundant number, since it is smaller than the sum of its proper divisors (307513503353340).

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

131343203342340 is a wasteful number, since it uses less digits than its factorization.

131343203342340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533883 (or 1533878 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 131343203342340 its reverse (43243302343131), we get a palindrome (174586505685471).

The spelling of 131343203342340 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred three million, three hundred forty-two thousand, three hundred forty".