Search a number
-
+
13311111203010 = 234547653344857
BaseRepresentation
bin1100000110110011110000…
…0011100000100011000010
31202010112022020010011010000
43001230330003200203002
53221042123431444020
644151012353220430
72542460513241645
oct301547403404302
952115266104100
1013311111203010
1142722352882a5
1215ab948261716
1375730377845a
14340392b03a5c
151813bc54e090
hexc1b3c0e08c2

13311111203010 has 80 divisors (see below), whose sum is σ = 35792953901496. Its totient is φ = 3549544872192.

The previous prime is 13311111202951. The next prime is 13311111203041. The reversal of 13311111203010 is 1030211111331.

13311111203010 is a `hidden beast` number, since 1 + 331 + 1 + 1 + 11 + 20 + 301 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10339510991121 + 2971600211889 = 3215511^2 + 1723833^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38426502 + ... + 38771358.

Almost surely, 213311111203010 is an apocalyptic number.

13311111203010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13311111203010 is an abundant number, since it is smaller than the sum of its proper divisors (22481842698486).

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

13311111203010 is a wasteful number, since it uses less digits than its factorization.

13311111203010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392529 (or 392520 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13311111203010 its reverse (1030211111331), we get a palindrome (14341322314341).

The spelling of 13311111203010 in words is "thirteen trillion, three hundred eleven billion, one hundred eleven million, two hundred three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 47653 95306 142959 238265 285918 344857 428877 476530 689714 714795 857754 1034571 1286631 1429590 1724285 2069142 2144385 2573262 3103713 3448570 3859893 4288770 5172855 6207426 6433155 7719786 9311139 10345710 12866310 15518565 18622278 19299465 27933417 31037130 38598930 46555695 55866834 93111390 139667085 279334170 16433470621 32866941242 49300411863 82167353105 98600823726 147901235589 164334706210 246502059315 295802471178 443703706767 493004118630 739506177945 887407413534 1331111120301 1479012355890 2218518533835 2662222240602 4437037067670 6655555601505 13311111203010