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131413314214403 = 1331423033216977
BaseRepresentation
bin11101111000010100001011…
…111010011001101000000011
3122020021222201211001020211122
4131320110023322121220003
5114211033431414330103
61143254235414302455
736452204301260234
oct3570241372315003
9566258654036748
10131413314214403
1138966089a328a1
12128a4945057a2b
1358432b7697720
14246461cb6708b
15102d566525b38
hex77850be99a03

131413314214403 has 8 divisors (see below), whose sum is σ = 141522119722368. Its totient is φ = 121304521425024.

The previous prime is 131413314214367. The next prime is 131413314214453. The reversal of 131413314214403 is 304412413314131.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131413314214403 - 26 = 131413314214339 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131413314214453) 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 7 ways as a sum of consecutive naturals, for example, 39241451 + ... + 42458427.

It is an arithmetic number, because the mean of its divisors is an integer number (17690264965296).

Almost surely, 2131413314214403 is an apocalyptic number.

131413314214403 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131413314214403 is a deficient number, since it is larger than the sum of its proper divisors (10108805507965).

131413314214403 is a wasteful number, since it uses less digits than its factorization.

131413314214403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359293.

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 131413314214403 its reverse (304412413314131), we get a palindrome (435825727528534).

The spelling of 131413314214403 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred fourteen million, two hundred fourteen thousand, four hundred three".

Divisors: 1 13 3142303 3216977 40849939 41820701 10108716478031 131413314214403