Search a number
-
+
130143001411101 = 3759509206362951
BaseRepresentation
bin11101100101110101000111…
…010111100111111000011101
3122001210112211112101122112010
4131211311013113213320131
5114024230331330123401
61140442511450301433
736261343616511450
oct3545650727477035
9561715745348463
10130143001411101
1138516378525a08
121271a703a27879
135780580c03a83
14241cd5227d497
15100a4b8a3bed6
hex765d475e7e1d

130143001411101 has 32 divisors (see below), whose sum is σ = 202070602598400. Its totient is φ = 72963335505600.

The previous prime is 130143001411067. The next prime is 130143001411151. The reversal of 130143001411101 is 101114100341031.

It is a de Polignac number, because none of the positive numbers 2k-130143001411101 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130143001411151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102550825 + ... + 103812126.

It is an arithmetic number, because the mean of its divisors is an integer number (6314706331200).

Almost surely, 2130143001411101 is an apocalyptic number.

It is an amenable number.

130143001411101 is a deficient number, since it is larger than the sum of its proper divisors (71927601187299).

130143001411101 is a wasteful number, since it uses less digits than its factorization.

130143001411101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206363529.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 130143001411101 its reverse (101114100341031), we get a palindrome (231257101752132).

The spelling of 130143001411101 in words is "one hundred thirty trillion, one hundred forty-three billion, one million, four hundred eleven thousand, one hundred one".

Divisors: 1 3 7 21 59 177 413 509 1239 1527 3563 10689 30031 90093 210217 630651 206362951 619088853 1444540657 4333621971 12175414109 36526242327 85227898763 105038742059 255683696289 315116226177 735271194413 2205813583239 6197285781481 18591857344443 43381000470367 130143001411101