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1311114112 = 27711137971
BaseRepresentation
bin100111000100110…
…0000001110000000
310101101002111102221
41032021200032000
510141121122422
6334033420424
744330200060
oct11611401600
93341074387
101311114112
116130a9490
1230710a714
1317b829989
14c61b53a0
157a1883c7
hex4e260380

1311114112 has 128 divisors (see below), whose sum is σ = 3283649280. Its totient is φ = 506572800.

The previous prime is 1311114097. The next prime is 1311114131. The reversal of 1311114112 is 2114111131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1349787 + ... + 1350757.

It is an arithmetic number, because the mean of its divisors is an integer number (25653510).

Almost surely, 21311114112 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 1311114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641824640).

1311114112 is an abundant number, since it is smaller than the sum of its proper divisors (1972535168).

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

1311114112 is a wasteful number, since it uses less digits than its factorization.

1311114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1128 counting only the distinct ones).

The product of its digits is 24, while the sum is 16.

The square root of 1311114112 is about 36209.3097421091. The cubic root of 1311114112 is about 1094.4942827132.

Adding to 1311114112 its reverse (2114111131), we get a palindrome (3425225243).

The spelling of 1311114112 in words is "one billion, three hundred eleven million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 137 154 176 224 274 308 352 448 548 616 704 896 959 971 1096 1232 1408 1507 1918 1942 2192 2464 3014 3836 3884 4384 4928 6028 6797 7672 7768 8768 9856 10549 10681 12056 13594 15344 15536 17536 21098 21362 24112 27188 30688 31072 42196 42724 48224 54376 61376 62144 74767 84392 85448 96448 108752 122752 124288 133027 149534 168784 170896 192896 217504 266054 299068 337568 341792 435008 532108 598136 675136 683584 870016 931189 1064216 1196272 1350272 1367168 1463297 1862378 2128432 2392544 2926594 3724756 4256864 4785088 5853188 7449512 8513728 9570176 10243079 11706376 14899024 17027456 20486158 23412752 29798048 40972316 46825504 59596096 81944632 93651008 119192192 163889264 187302016 327778528 655557056 1311114112