Search a number
-
+
13355341461 = 3272112753111
BaseRepresentation
bin11000111000000101…
…00101011010010101
31021110202102122022100
430130002211122111
5204322431411321
610045123152313
7651646346400
oct143402453225
937422378270
1013355341461
115733818790
122708815699
13134aba8217
14909a26d37
15532743326
hex31c0a5695

13355341461 has 36 divisors (see below), whose sum is σ = 24480671904. Its totient is φ = 6937837200.

The previous prime is 13355341429. The next prime is 13355341469. The reversal of 13355341461 is 16414355331.

13355341461 is a `hidden beast` number, since 1 + 3 + 3 + 553 + 41 + 4 + 61 = 666.

It is not a de Polignac number, because 13355341461 - 25 = 13355341429 is a prime.

It is a super-2 number, since 2×133553414612 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13355341469) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1371705 + ... + 1381406.

It is an arithmetic number, because the mean of its divisors is an integer number (680018664).

Almost surely, 213355341461 is an apocalyptic number.

13355341461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13355341461 is a deficient number, since it is larger than the sum of its proper divisors (11125330443).

13355341461 is a wasteful number, since it uses less digits than its factorization.

13355341461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753142 (or 2753132 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 13355341461 its reverse (16414355331), we get a palindrome (29769696792).

The spelling of 13355341461 in words is "thirteen billion, three hundred fifty-five million, three hundred forty-one thousand, four hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 2753111 8259333 19271777 24777999 30284221 57815331 90852663 134902439 173445993 211989547 272557989 404707317 635968641 1214121951 1483926829 1907905923 4451780487 13355341461