Search a number
-
+
130003220211201 = 32181197534040173
BaseRepresentation
bin11101100011110010111011…
…110000101010011000000001
3122001022012000221101222002100
4131203302323300222120001
5114014433043333224301
61140254353242141013
736245264663100351
oct3543627360523001
9561265027358070
10130003220211201
11384720686a55a7
12126b75b34b1769
13577033577c2bc
142416291b28b61
151006a3713a286
hex763cbbc2a601

130003220211201 has 24 divisors (see below), whose sum is σ = 188829506965736. Its totient is φ = 86185595531520.

The previous prime is 130003220211157. The next prime is 130003220211203. The reversal of 130003220211201 is 102112022300031.

130003220211201 is a `hidden beast` number, since 1 + 30 + 0 + 0 + 3 + 220 + 211 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1221599667600 + 128781620543601 = 1105260^2 + 11348199^2 .

It is not a de Polignac number, because 130003220211201 - 235 = 129968860472833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130003220211203) 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 23 ways as a sum of consecutive naturals, for example, 30157551 + ... + 34197723.

Almost surely, 2130003220211201 is an apocalyptic number.

It is an amenable number.

130003220211201 is a deficient number, since it is larger than the sum of its proper divisors (58826286754535).

130003220211201 is a wasteful number, since it uses less digits than its factorization.

130003220211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060113 (or 4060110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130003220211201 its reverse (102112022300031), we get a palindrome (232115242511232).

The spelling of 130003220211201 in words is "one hundred thirty trillion, three billion, two hundred twenty million, two hundred eleven thousand, two hundred one".

Divisors: 1 3 9 181 543 1629 19753 59259 177777 3575293 4040173 10725879 12120519 32177637 36361557 731271313 2193813939 6581441817 79805537269 239416611807 718249835421 14444802245689 43334406737067 130003220211201