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135310031241 = 3731121086749
BaseRepresentation
bin111111000000100011…
…0110011100110001001
3110221020222200210002120
41332001012303212021
54204103331444431
6142054403321453
712530052201000
oct1760106634611
9427228623076
10135310031241
1152425a92200
1222283080289
13c9b5034058
1467987d1c37
1537be10b196
hex1f811b3989

135310031241 has 48 divisors (see below), whose sum is σ = 231260400000. Its totient is φ = 70290860640.

The previous prime is 135310031239. The next prime is 135310031273. The reversal of 135310031241 is 142130013531.

It is not a de Polignac number, because 135310031241 - 21 = 135310031239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135310031231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418866 + ... + 667883.

It is an arithmetic number, because the mean of its divisors is an integer number (4817925000).

Almost surely, 2135310031241 is an apocalyptic number.

135310031241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135310031241 is a deficient number, since it is larger than the sum of its proper divisors (95950368759).

135310031241 is a wasteful number, since it uses less digits than its factorization.

135310031241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086795 (or 1086770 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 135310031241 its reverse (142130013531), we get a palindrome (277440044772).

The spelling of 135310031241 in words is "one hundred thirty-five billion, three hundred ten million, thirty-one thousand, two hundred forty-one".

Divisors: 1 3 7 11 21 33 49 77 121 147 231 343 363 539 847 1029 1617 2541 3773 5929 11319 17787 41503 124509 1086749 3260247 7607243 11954239 22821729 35862717 53250701 83679673 131496629 159752103 251039019 372754907 394489887 585757711 920476403 1118264721 1757273133 2761429209 4100303977 6443334821 12300911931 19330004463 45103343747 135310031241