Search a number
-
+
131104215142410 = 23543599169668071
BaseRepresentation
bin11101110011110100010100…
…001011000001000000001010
3122012012102220011121110212010
4131303310110023001000022
5114141002413034024120
61142500240040400350
736420652445435106
oct3563642413010012
9565172804543763
10131104215142410
1138856a92628094
1212854a604760b6
1358200c770b563
1424536993c0906
1510254c511a7e0
hex773d142c100a

131104215142410 has 64 divisors (see below), whose sum is σ = 322505071257600. Its totient is φ = 34091065968960.

The previous prime is 131104215142409. The next prime is 131104215142421. The reversal of 131104215142410 is 14241512401131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 84061326 + ... + 85606745.

It is an arithmetic number, because the mean of its divisors is an integer number (5039141738400).

Almost surely, 2131104215142410 is an apocalyptic number.

131104215142410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131104215142410 is an abundant number, since it is smaller than the sum of its proper divisors (191400856115190).

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

131104215142410 is a wasteful number, since it uses less digits than its factorization.

131104215142410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169668723.

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 131104215142410 its reverse (14241512401131), we get a palindrome (145345727543541).

The spelling of 131104215142410 in words is "one hundred thirty-one trillion, one hundred four billion, two hundred fifteen million, one hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 599 645 1198 1290 1797 2995 3594 5990 8985 17970 25757 51514 77271 128785 154542 257570 386355 772710 169668071 339336142 509004213 848340355 1018008426 1696680710 2545021065 5090042130 7295727053 14591454106 21887181159 36478635265 43774362318 72957270530 101631174529 109435905795 203262349058 218871811590 304893523587 508155872645 609787047174 1016311745290 1524467617935 3048935235870 4370140504747 8740281009494 13110421514241 21850702523735 26220843028482 43701405047470 65552107571205 131104215142410