Search a number
-
+
11310111020 = 22513473132957
BaseRepresentation
bin10101000100010001…
…01001100100101100
31002012012222011120202
422202020221210230
5141130342023040
65110142533032
7550163233415
oct124210514454
932165864522
1011310111020
11488429889a
122237897178
1310b32556b0
1479415680c
15462de9015
hex2a222992c

11310111020 has 96 divisors (see below), whose sum is σ = 26214789888. Its totient is φ = 4072753152.

The previous prime is 11310110969. The next prime is 11310111037. The reversal of 11310111020 is 2011101311.

It is a happy number.

It is a super-2 number, since 2×113101110202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11310110992 and 11310111010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3823382 + ... + 3826338.

It is an arithmetic number, because the mean of its divisors is an integer number (273070728).

Almost surely, 211310111020 is an apocalyptic number.

11310111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107394944).

11310111020 is an abundant number, since it is smaller than the sum of its proper divisors (14904678868).

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

11310111020 is a wasteful number, since it uses less digits than its factorization.

11310111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11310111020 its reverse (2011101311), we get a palindrome (13321212331).

The spelling of 11310111020 in words is "eleven billion, three hundred ten million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 313 470 611 626 940 1222 1252 1565 2444 2957 3055 3130 4069 5914 6110 6260 8138 11828 12220 14711 14785 16276 20345 29422 29570 38441 40690 58844 59140 73555 76882 81380 138979 147110 153764 191243 192205 277958 294220 382486 384410 555916 694895 764972 768820 925541 956215 1389790 1806727 1851082 1912430 2779580 3613454 3702164 3824860 4627705 7226908 9033635 9255410 12032033 18067270 18510820 24064066 36134540 43500427 48128132 60160165 87000854 120320330 174001708 217502135 240640660 435004270 565505551 870008540 1131011102 2262022204 2827527755 5655055510 11310111020