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1131324216 = 2331147731249
BaseRepresentation
bin100001101101110…
…1010001100111000
32220211210020001220
41003123222030320
54304104333331
6304132112040
740015045221
oct10333521470
92824706056
101131324216
1153066a6a0
12276a65620
131504ca619
14aa374248
15694c2296
hex436ea338

1131324216 has 128 divisors (see below), whose sum is σ = 3196800000. Its totient is φ = 330670080.

The previous prime is 1131324209. The next prime is 1131324221. The reversal of 1131324216 is 6124231311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905160 + ... + 906408.

It is an arithmetic number, because the mean of its divisors is an integer number (24975000).

Almost surely, 21131324216 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 1131324216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598400000).

1131324216 is an abundant number, since it is smaller than the sum of its proper divisors (2065475784).

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

1131324216 is a wasteful number, since it uses less digits than its factorization.

1131324216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1385 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 1131324216 is about 33635.1633859567. The cubic root of 1131324216 is about 1041.9871449914.

Adding to 1131324216 its reverse (6124231311), we get a palindrome (7255555527).

The spelling of 1131324216 in words is "one billion, one hundred thirty-one million, three hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 73 88 94 132 141 146 188 219 264 282 292 376 438 517 564 584 803 876 1034 1128 1249 1551 1606 1752 2068 2409 2498 3102 3212 3431 3747 4136 4818 4996 6204 6424 6862 7494 9636 9992 10293 12408 13724 13739 14988 19272 20586 27448 27478 29976 37741 41172 41217 54956 58703 75482 82344 82434 91177 109912 113223 117406 150964 164868 176109 182354 226446 234812 273531 301928 329736 352218 364708 452892 469624 547062 645733 704436 729416 905784 1002947 1094124 1291466 1408872 1937199 2005894 2188248 2582932 3008841 3874398 4011788 4285319 5165864 6017682 7748796 8023576 8570638 12035364 12855957 15497592 17141276 24070728 25711914 34282552 47138509 51423828 94277018 102847656 141415527 188554036 282831054 377108072 565662108 1131324216