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131001341114041 = 1440136929246329
BaseRepresentation
bin11101110010010100100000…
…011001101111011010111001
3122011211121100200222100212021
4131302110200121233122321
5114132311221311122131
61142341104005114441
736410351232556126
oct3562244031573271
9564747320870767
10131001341114041
11388173a1951a32
1212838b300b8a21
1358134b1652618
14244c6da78974d
1510229a3921e11
hex77252066f6b9

131001341114041 has 8 divisors (see below), whose sum is σ = 131014517293800. Its totient is φ = 130988165529600.

The previous prime is 131001341114029. The next prime is 131001341114093. The reversal of 131001341114041 is 140411143100131.

It can be written as a sum of positive squares in 4 ways, for example, as 75581654200441 + 55419686913600 = 8693771^2 + 7444440^2 .

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 131001341114041 - 29 = 131001341113529 is a prime.

It is a super-2 number, since 2×1310013411140412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131001341113997 and 131001341114015.

It is not an unprimeable number, because it can be changed into a prime (131001341114741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531691365 + ... + 531937693.

It is an arithmetic number, because the mean of its divisors is an integer number (16376814661725).

Almost surely, 2131001341114041 is an apocalyptic number.

It is an amenable number.

131001341114041 is a deficient number, since it is larger than the sum of its proper divisors (13176179759).

131001341114041 is a wasteful number, since it uses less digits than its factorization.

131001341114041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297659.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 131001341114041 its reverse (140411143100131), we get a palindrome (271412484214172).

The spelling of 131001341114041 in words is "one hundred thirty-one trillion, one billion, three hundred forty-one million, one hundred fourteen thousand, forty-one".

Divisors: 1 14401 36929 246329 531814529 3547383929 9096683641 131001341114041