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1131130104 = 2331322715971
BaseRepresentation
bin100001101101011…
…1010110011111000
32220211102100210120
41003122322303320
54304032130404
6304124013240
740013306256
oct10332726370
92824370716
101131130104
11530547875
12276991220
13150460170
14aa3235d6
15694849d9
hex436bacf8

1131130104 has 64 divisors (see below), whose sum is σ = 3058957440. Its totient is φ = 346485120.

The previous prime is 1131130061. The next prime is 1131130151. The reversal of 1131130104 is 4010311311.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 62839 + ... + 78809.

It is an arithmetic number, because the mean of its divisors is an integer number (47796210).

Almost surely, 21131130104 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 1131130104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529478720).

1131130104 is an abundant number, since it is smaller than the sum of its proper divisors (1927827336).

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

1131130104 is a wasteful number, since it uses less digits than its factorization.

1131130104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16220 (or 16216 counting only the distinct ones).

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

The square root of 1131130104 is about 33632.2777105566. The cubic root of 1131130104 is about 1041.9275470516.

Adding to 1131130104 its reverse (4010311311), we get a palindrome (5141441415).

The spelling of 1131130104 in words is "one billion, one hundred thirty-one million, one hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 227 312 454 681 908 1362 1816 2724 2951 5448 5902 8853 11804 15971 17706 23608 31942 35412 47913 63884 70824 95826 127768 191652 207623 383304 415246 622869 830492 1245738 1660984 2491476 3625417 4982952 7250834 10876251 14501668 21752502 29003336 43505004 47130421 87010008 94260842 141391263 188521684 282782526 377043368 565565052 1131130104