Search a number
-
+
130010031132111 = 321379101941147997
BaseRepresentation
bin11101100011111001010001…
…101110010000110111001111
3122001022211121121100121010100
4131203321101232100313033
5114020041020432211421
61140301441143542143
736245625525005544
oct3543712156206717
9561284547317110
10130010031132111
1138474a43246259
12126b899445a953
135770b7c852a10
14241673a506bcb
151006cd5055c26
hex763e51b90dcf

130010031132111 has 96 divisors (see below), whose sum is σ = 207046691953920. Its totient is φ = 78127680384000.

The previous prime is 130010031132109. The next prime is 130010031132131. The reversal of 130010031132111 is 111231130010031.

130010031132111 is a `hidden beast` number, since 1 + 30 + 0 + 1 + 0 + 0 + 311 + 321 + 1 + 1 = 666.

It is not a de Polignac number, because 130010031132111 - 21 = 130010031132109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130010031132131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 878389965 + ... + 878537961.

It is an arithmetic number, because the mean of its divisors is an integer number (2156736374520).

Almost surely, 2130010031132111 is an apocalyptic number.

130010031132111 is a deficient number, since it is larger than the sum of its proper divisors (77036660821809).

130010031132111 is a wasteful number, since it uses less digits than its factorization.

130010031132111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149137 (or 149134 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 130010031132111 its reverse (111231130010031), we get a palindrome (241241161142142).

The spelling of 130010031132111 in words is "one hundred thirty trillion, ten billion, thirty-one million, one hundred thirty-two thousand, one hundred eleven".

Divisors: 1 3 9 13 39 79 101 117 237 303 711 909 941 1027 1313 2823 3081 3939 7979 8469 9243 11817 12233 23937 36699 71811 74339 95041 103727 110097 147997 223017 285123 311181 443991 669051 855369 933543 966407 1235533 1331973 1923961 2899221 3706599 5771883 7508239 8697663 11119797 11691763 14947697 17315649 22524717 35075289 44843091 67574151 97607107 105225867 134529273 139265177 151992919 194320061 292821321 417795531 455978757 582960183 878463963 1180868063 1253386593 1367936271 1748880549 1810447301 3542604189 5431341903 10627812567 11001948983 14065782877 15351284819 16294025709 33005846949 42197348631 46053854457 99017540847 126592045893 138161563371 143025336779 182855177401 429076010337 548565532203 1111196847283 1287228031011 1645696596609 3333590541849 10000771625547 14445559014679 43336677044037 130010031132111