Search a number
-
+
1131105012 = 2235313011367
BaseRepresentation
bin100001101101011…
…0100101011110100
32220211101002101020
41003122310223310
54304030330022
6304123301140
740013143152
oct10332645364
92824332336
101131105012
1153052aa34
1227697a7b0
1315045190b
14aa3183d2
156947c35c
hex436b4af4

1131105012 has 48 divisors (see below), whose sum is σ = 2693077632. Its totient is φ = 369366400.

The previous prime is 1131104983. The next prime is 1131105071. The reversal of 1131105012 is 2105011311.

1131105012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1131104982 and 1131105000.

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, 826753 + ... + 828119.

It is an arithmetic number, because the mean of its divisors is an integer number (56105784).

Almost surely, 21131105012 is an apocalyptic number.

1131105012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131105012 is an abundant number, since it is smaller than the sum of its proper divisors (1561972620).

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

1131105012 is a wasteful number, since it uses less digits than its factorization.

1131105012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 1131105012 is about 33631.9046739848. The cubic root of 1131105012 is about 1041.9198425917.

Adding to 1131105012 its reverse (2105011311), we get a palindrome (3236116323).

The spelling of 1131105012 in words is "one billion, one hundred thirty-one million, one hundred five thousand, twelve".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 1301 1367 2602 2734 3903 4101 5204 5468 7806 8202 15612 16404 68953 72451 137906 144902 206859 217353 275812 289804 413718 434706 827436 869412 1778467 3556934 5335401 7113868 10670802 21341604 94258751 188517502 282776253 377035004 565552506 1131105012