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130040100041 = 521977255473
BaseRepresentation
bin111100100011011111…
…1100111010011001001
3110102122201101112112112
41321012333213103021
54112310231200131
6135423430352105
712252341420045
oct1710677472311
9412581345475
10130040100041
1150171278965
12212521bb635
13c3552a4a77
146418947025
1535b163502b
hex1e46fe74c9

130040100041 has 8 divisors (see below), whose sum is σ = 130423564584. Its totient is φ = 129657149440.

The previous prime is 130040100023. The next prime is 130040100077. The reversal of 130040100041 is 140001040031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61276051600 + 68764048441 = 247540^2 + 262229^2 .

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 130040100041 - 210 = 130040099017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130040099989 and 130040100025.

It is not an unprimeable number, because it can be changed into a prime (130040100341) 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, 381281 + ... + 636753.

It is an arithmetic number, because the mean of its divisors is an integer number (16302945573).

Almost surely, 2130040100041 is an apocalyptic number.

It is an amenable number.

130040100041 is a deficient number, since it is larger than the sum of its proper divisors (383464543).

130040100041 is an equidigital number, since it uses as much as digits as its factorization.

130040100041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256971.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 130040100041 its reverse (140001040031), we get a palindrome (270041140072).

The spelling of 130040100041 in words is "one hundred thirty billion, forty million, one hundred thousand, forty-one".

Divisors: 1 521 977 255473 509017 133101433 249597121 130040100041