Search a number
-
+
130202442441 = 3413911564299
BaseRepresentation
bin111100101000010101…
…0111001101011001001
3110110002000212101110000
41321100222321223021
54113123311124231
6135451510113213
712256352333361
oct1712052715311
9413060771400
10130202442441
1150244980135
122129864b809
13c37cb05766
1464323259a1
1535c0a016e6
hex1e50ab9ac9

130202442441 has 20 divisors (see below), whose sum is σ = 195899242000. Its totient is φ = 86177148696.

The previous prime is 130202442439. The next prime is 130202442443. The reversal of 130202442441 is 144244202031.

130202442441 is a `hidden beast` number, since 1 + 30 + 202 + 4 + 424 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (130202442439) and next prime (130202442443).

It is not a de Polignac number, because 130202442441 - 21 = 130202442439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130202442443) 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 19 ways as a sum of consecutive naturals, for example, 5770891 + ... + 5793408.

It is an arithmetic number, because the mean of its divisors is an integer number (9794962100).

Almost surely, 2130202442441 is an apocalyptic number.

It is an amenable number.

130202442441 is a deficient number, since it is larger than the sum of its proper divisors (65696799559).

130202442441 is a wasteful number, since it uses less digits than its factorization.

130202442441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11564450 (or 11564441 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 130202442441 its reverse (144244202031), we get a palindrome (274446644472).

The spelling of 130202442441 in words is "one hundred thirty billion, two hundred two million, four hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 139 417 1251 3753 11259 11564299 34692897 104078691 312236073 936708219 1607437561 4822312683 14466938049 43400814147 130202442441