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135311011241 = 722761449209
BaseRepresentation
bin111111000000100101…
…0100010110110101001
3110221021001112120101212
41332001022202312221
54204104104324431
6142054440322505
712530063422100
oct1760112426651
9427231476355
10135311011241
11524265a151a
1222283473435
13c9b52b8133
1467989a9037
1537be25172b
hex1f812a2da9

135311011241 has 6 divisors (see below), whose sum is σ = 157402604970. Its totient is φ = 115980866736.

The previous prime is 135311011219. The next prime is 135311011259. The reversal of 135311011241 is 142110113531.

It can be written as a sum of positive squares in only one way, i.e., 110277126400 + 25033884841 = 332080^2 + 158221^2 .

It is not a de Polignac number, because 135311011241 - 210 = 135311010217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135311011271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1380724556 + ... + 1380724653.

It is an arithmetic number, because the mean of its divisors is an integer number (26233767495).

Almost surely, 2135311011241 is an apocalyptic number.

It is an amenable number.

135311011241 is a deficient number, since it is larger than the sum of its proper divisors (22091593729).

135311011241 is an equidigital number, since it uses as much as digits as its factorization.

135311011241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761449223 (or 2761449216 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 135311011241 its reverse (142110113531), we get a palindrome (277421124772).

The spelling of 135311011241 in words is "one hundred thirty-five billion, three hundred eleven million, eleven thousand, two hundred forty-one".

Divisors: 1 7 49 2761449209 19330144463 135311011241