Search a number
-
+
12130413141 = 3711237013257
BaseRepresentation
bin10110100110000011…
…10110101001010101
31011022101111211112210
423103001312221111
5144320341210031
65323404504033
7606413544660
oct132301665125
934271454483
1012130413141
115165335a30
12242654b019
1311b4196372
148310886d7
154aee31746
hex2d3076a55

12130413141 has 64 divisors (see below), whose sum is σ = 21078061056. Its totient is φ = 6017088000.

The previous prime is 12130413083. The next prime is 12130413167. The reversal of 12130413141 is 14131403121.

12130413141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12130413141 - 222 = 12126218837 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 (12130413241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3722785 + ... + 3726041.

It is an arithmetic number, because the mean of its divisors is an integer number (329344704).

Almost surely, 212130413141 is an apocalyptic number.

12130413141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12130413141 is a deficient number, since it is larger than the sum of its proper divisors (8947647915).

12130413141 is a wasteful number, since it uses less digits than its factorization.

12130413141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12130413141 its reverse (14131403121), we get a palindrome (26261816262).

The spelling of 12130413141 in words is "twelve billion, one hundred thirty million, four hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 23 33 69 77 161 231 253 483 701 759 1771 2103 3257 4907 5313 7711 9771 14721 16123 22799 23133 35827 48369 53977 68397 74911 107481 112861 161931 177353 224733 250789 338583 524377 532059 752367 824021 1241471 1573131 2283157 2472063 3724413 5768147 6849471 15982099 17304441 25114727 47946297 52512611 75344181 157537833 175803089 367588277 527409267 577638721 1102764831 1732916163 4043471047 12130413141