Search a number
-
+
1131013104 = 2431317310477
BaseRepresentation
bin100001101101001…
…1110001111110000
32220211012102022020
41003122132033300
54304014404404
6304121311440
740012311204
oct10332361760
92824172266
101131013104
11530477981
12276935580
1315041bb30
14aa2d2b04
156945eed9
hex4369e3f0

1131013104 has 80 divisors (see below), whose sum is σ = 3165026592. Its totient is φ = 345959424.

The previous prime is 1131013073. The next prime is 1131013129. The reversal of 1131013104 is 4013101311.

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, 102714 + ... + 113190.

Almost surely, 21131013104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582513296).

1131013104 is an abundant number, since it is smaller than the sum of its proper divisors (2034013488).

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

1131013104 is a wasteful number, since it uses less digits than its factorization.

1131013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10674 (or 10668 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1131013104 is about 33630.5382650947. The cubic root of 1131013104 is about 1041.8916214093.

Adding to 1131013104 its reverse (4013101311), we get a palindrome (5144114415).

The spelling of 1131013104 in words is "one billion, one hundred thirty-one million, thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 173 208 312 346 519 624 692 1038 1384 2076 2249 2768 4152 4498 6747 8304 8996 10477 13494 17992 20954 26988 31431 35984 41908 53976 62862 83816 107952 125724 136201 167632 251448 272402 408603 502896 544804 817206 1089608 1634412 1812521 2179216 3268824 3625042 5437563 6537648 7250084 10875126 14500168 21750252 23562773 29000336 43500504 47125546 70688319 87001008 94251092 141376638 188502184 282753276 377004368 565506552 1131013104