Search a number
-
+
131142110011104 = 2532365519066413
BaseRepresentation
bin11101110100010111100110…
…111000011101111011100000
3122012100001201010111021002110
4131310113212320131323200
5114142113020130323404
61142525504215115320
736423463511500623
oct3564274670357340
9565301633437073
10131142110011104
1138871069262895
1212860277372b40
1358238565c749a
142455452167dba
151026491dc4b89
hex7745e6e1dee0

131142110011104 has 96 divisors (see below), whose sum is σ = 359270218105344. Its totient is φ = 41807039014400.

The previous prime is 131142110011097. The next prime is 131142110011123. The reversal of 131142110011104 is 401110011241131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9931402 + ... + 18997814.

It is an arithmetic number, because the mean of its divisors is an integer number (3742398105264).

Almost surely, 2131142110011104 is an apocalyptic number.

It is an amenable number.

131142110011104 is an abundant number, since it is smaller than the sum of its proper divisors (228128108094240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131142110011104 is a wasteful number, since it uses less digits than its factorization.

131142110011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9073000 (or 9072992 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 131142110011104 its reverse (401110011241131), we get a palindrome (532252121252235).

The spelling of 131142110011104 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred ten million, eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 6551 13102 19653 26204 39306 52408 78612 104816 150673 157224 209632 301346 314448 452019 602692 628896 904038 1205384 1808076 2410768 3616152 4821536 7232304 9066413 14464608 18132826 27199239 36265652 54398478 72531304 108796956 145062608 208527499 217593912 290125216 417054998 435187824 625582497 834109996 870375648 1251164994 1668219992 2502329988 3336439984 5004659976 6672879968 10009319952 20018639904 59394071563 118788143126 178182214689 237576286252 356364429378 475152572504 712728858756 950305145008 1366063645949 1425457717512 1900610290016 2732127291898 2850915435024 4098190937847 5464254583796 5701830870048 8196381875694 10928509167592 16392763751388 21857018335184 32785527502776 43714036670368 65571055005552 131142110011104