Search a number
-
+
11211053505432 = 23311311369874573
BaseRepresentation
bin1010001100100100011011…
…0111001001101110011000
31110200202200121001121200220
42203021012313021232120
52432140214144133212
635502141544400040
72234654233320564
oct243110667115630
943622617047626
1011211053505432
113632643483370
12131093b176020
13634275782691
142aa8916946a4
1514695a23b38c
hexa3246dc9b98

11211053505432 has 64 divisors (see below), whose sum is σ = 31561910184960. Its totient is φ = 3287698972800.

The previous prime is 11211053505409. The next prime is 11211053505461. The reversal of 11211053505432 is 23450535011211.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11211053505393 and 11211053505402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684929103 + ... + 684945470.

It is an arithmetic number, because the mean of its divisors is an integer number (493154846640).

Almost surely, 211211053505432 is an apocalyptic number.

11211053505432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11211053505432 is an abundant number, since it is smaller than the sum of its proper divisors (20350856679528).

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

11211053505432 is a wasteful number, since it uses less digits than its factorization.

11211053505432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369874624 (or 1369874620 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 11211053505432 its reverse (23450535011211), we get a palindrome (34661588516643).

The spelling of 11211053505432 in words is "eleven trillion, two hundred eleven billion, fifty-three million, five hundred five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 1369874573 2739749146 4109623719 5479498292 8219247438 10958996584 15068620303 16438494876 30137240606 32876989752 42466111763 45205860909 60274481212 84932223526 90411721818 120548962424 127398335289 169864447052 180823443636 254796670578 339728894104 361646887272 467127229393 509593341156 934254458786 1019186682312 1401381688179 1868508917572 2802763376358 3737017835144 5605526752716 11211053505432