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130441410204001 = 1321510275110627
BaseRepresentation
bin11101101010001011000001…
…111010110101000101100001
3122002212002002011011222110221
4131222023001322311011201
5114044123002003012001
61141231542342323041
736322036513425301
oct3552130172650541
9562762064158427
10130441410204001
1138620989506816
1212768504429481
1357a2759187c00
14242d57dd39601
1510131316871a1
hex76a2c1eb5161

130441410204001 has 12 divisors (see below), whose sum is σ = 141248170381872. Its totient is φ = 120406634755056.

The previous prime is 130441410203987. The next prime is 130441410204011. The reversal of 130441410204001 is 100402014144031.

It is not a de Polignac number, because 130441410204001 - 25 = 130441410203969 is a prime.

It is a super-2 number, since 2×1304414102040012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130441410204011) 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 11 ways as a sum of consecutive naturals, for example, 22968250 + ... + 28078876.

It is an arithmetic number, because the mean of its divisors is an integer number (11770680865156).

Almost surely, 2130441410204001 is an apocalyptic number.

It is an amenable number.

130441410204001 is a deficient number, since it is larger than the sum of its proper divisors (10806760177871).

130441410204001 is a wasteful number, since it uses less digits than its factorization.

130441410204001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261680 (or 5261667 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 130441410204001 its reverse (100402014144031), we get a palindrome (230843424348032).

The spelling of 130441410204001 in words is "one hundred thirty trillion, four hundred forty-one billion, four hundred ten million, two hundred four thousand, one".

Divisors: 1 13 169 151027 1963351 5110627 25523563 66438151 863695963 771842663929 10033954631077 130441410204001