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130440001120401 = 37411060311428811
BaseRepresentation
bin11101101010001001101101…
…111011100110100010010001
3122002211221102221202010011110
4131222021231323212202101
5114044112110241323101
61141231150445003533
736321656553420660
oct3552115573464221
9562757387663143
10130440001120401
1138620326083415
12127681905535a9
1357a2593278a2b
14242d488b40dd7
15101309caeacd6
hex76a26dee6891

130440001120401 has 32 divisors (see below), whose sum is σ = 203615723114496. Its totient is φ = 72718427664000.

The previous prime is 130440001120391. The next prime is 130440001120411. The reversal of 130440001120401 is 104021100044031.

It is an interprime number because it is at equal distance from previous prime (130440001120391) and next prime (130440001120411).

It is not a de Polignac number, because 130440001120401 - 25 = 130440001120369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (130440001120411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90578286 + ... + 92007096.

It is an arithmetic number, because the mean of its divisors is an integer number (6362991347328).

Almost surely, 2130440001120401 is an apocalyptic number.

It is an amenable number.

130440001120401 is a deficient number, since it is larger than the sum of its proper divisors (73175721994095).

130440001120401 is a wasteful number, since it uses less digits than its factorization.

130440001120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534893.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 130440001120401 its reverse (104021100044031), we get a palindrome (234461101164432).

The spelling of 130440001120401 in words is "one hundred thirty trillion, four hundred forty billion, one million, one hundred twenty thousand, four hundred one".

Divisors: 1 3 7 21 41 123 287 861 106031 318093 742217 1428811 2226651 4286433 4347271 10001677 13041813 30005031 30430897 58581251 91292691 175743753 410068757 1230206271 151498259141 454494777423 1060487813987 3181463441961 6211428624781 18634285874343 43480000373467 130440001120401