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130001431201301 = 11234331186696649
BaseRepresentation
bin11101100011110001010001…
…001000001000011000010101
3122001022000102021001211212102
4131203301101020020120111
5114014420412341420201
61140253455533331445
736245202440545142
oct3543612110103025
9561260367054772
10130001431201301
113847132a867a20
12126b7194336b85
13577010bc3966a
1424161622b33c9
15100698005326b
hex763c51208615

130001431201301 has 16 divisors (see below), whose sum is σ = 148327587676800. Its totient is φ = 112783649425920.

The previous prime is 130001431201223. The next prime is 130001431201309. The reversal of 130001431201301 is 103102134100031.

It is not a de Polignac number, because 130001431201301 - 238 = 129726553294357 is a prime.

It is a super-2 number, since 2×1300014312013012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130001431201309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593238776 + ... + 593457873.

It is an arithmetic number, because the mean of its divisors is an integer number (9270474229800).

Almost surely, 2130001431201301 is an apocalyptic number.

130001431201301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130001431201301 is a deficient number, since it is larger than the sum of its proper divisors (18326156475499).

130001431201301 is a wasteful number, since it uses less digits than its factorization.

130001431201301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186697116.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 130001431201301 its reverse (103102134100031), we get a palindrome (233103565301332).

The spelling of 130001431201301 in words is "one hundred thirty trillion, one billion, four hundred thirty-one million, two hundred one thousand, three hundred one".

Divisors: 1 11 23 253 433 4763 9959 109549 1186696649 13053663139 27294022927 300234252197 513839649017 5652236139187 11818311927391 130001431201301