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13235340105 = 32513312293187
BaseRepresentation
bin11000101001110001…
…10100001101001001
31021011101121221101200
430110320310031021
5204101221340410
610025155134413
7645661351251
oct142470641511
937141557350
1013235340105
115682005a09
1226945a4409
13132c0807c0
148d7b0a961
15526e3c3c0
hex314e34349

13235340105 has 96 divisors (see below), whose sum is σ = 25622338560. Its totient is φ = 6276165120.

The previous prime is 13235340091. The next prime is 13235340113. The reversal of 13235340105 is 50104353231.

13235340105 is a `hidden beast` number, since 1 + 3 + 23 + 534 + 0 + 105 = 666.

It is not a de Polignac number, because 13235340105 - 222 = 13231145801 is a prime.

It is a super-2 number, since 2×132353401052 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4151322 + ... + 4154508.

It is an arithmetic number, because the mean of its divisors is an integer number (266899360).

Almost surely, 213235340105 is an apocalyptic number.

13235340105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13235340105 is a deficient number, since it is larger than the sum of its proper divisors (12386998455).

13235340105 is a wasteful number, since it uses less digits than its factorization.

13235340105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13235340105 its reverse (50104353231), we get a palindrome (63339693336).

The spelling of 13235340105 in words is "thirteen billion, two hundred thirty-five million, three hundred forty thousand, one hundred five".

Divisors: 1 3 5 9 13 15 31 39 45 65 93 117 155 195 229 279 403 465 585 687 1145 1209 1395 2015 2061 2977 3187 3435 3627 6045 7099 8931 9561 10305 14885 15935 18135 21297 26793 28683 35495 41431 44655 47805 63891 92287 98797 106485 124293 133965 143415 207155 276861 296391 319455 372879 461435 493985 621465 729823 830583 889173 1284361 1384305 1481955 1864395 2189469 3649115 3853083 4152915 4445865 6421805 6568407 9487699 10947345 11559249 19265415 22624513 28463097 32842035 47438495 57796245 67873539 85389291 113122565 142315485 203620617 294118669 339367695 426946455 882356007 1018103085 1470593345 2647068021 4411780035 13235340105