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131343242114301 = 376254440100681
BaseRepresentation
bin11101110111010010111011…
…010010100011010011111101
3122020001021212101000202012220
4131313102323102203103331
5114203411424440124201
61143202130310115553
736444143660246220
oct3567227322432375
9566037771022186
10131343242114301
11389393a1075968
121289324a04bbb9
1358397cb3276b9
1424610927435b7
15102b814922036
hex7774bb4a34fd

131343242114301 has 8 divisors (see below), whose sum is σ = 200142083221824. Its totient is φ = 75053281208160.

The previous prime is 131343242114291. The next prime is 131343242114347. The reversal of 131343242114301 is 103411242343131.

It is a happy number.

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

It is not a de Polignac number, because 131343242114301 - 25 = 131343242114269 is a prime.

It is a super-3 number, since 3×1313432421143013 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131343242114351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3127220050320 + ... + 3127220050361.

It is an arithmetic number, because the mean of its divisors is an integer number (25017760402728).

Almost surely, 2131343242114301 is an apocalyptic number.

It is an amenable number.

131343242114301 is a deficient number, since it is larger than the sum of its proper divisors (68798841107523).

131343242114301 is an equidigital number, since it uses as much as digits as its factorization.

131343242114301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254440100691.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131343242114301 its reverse (103411242343131), we get a palindrome (234754484457432).

The spelling of 131343242114301 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred forty-two million, one hundred fourteen thousand, three hundred one".

Divisors: 1 3 7 21 6254440100681 18763320302043 43781080704767 131343242114301