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11143113312 = 2531952311681
BaseRepresentation
bin10100110000010111…
…00110101001100000
31001202120201210210110
422120023212221200
5140310114111222
65041415331320
7543064620552
oct123013465140
931676653713
1011143113312
1147a8aa6a61
1221ab980b40
131087784a96
14779cc54d2
1545340d30c
hex2982e6a60

11143113312 has 96 divisors (see below), whose sum is σ = 30851694720. Its totient is φ = 3511848960.

The previous prime is 11143113283. The next prime is 11143113349. The reversal of 11143113312 is 21331134111.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 948112 + ... + 959792.

It is an arithmetic number, because the mean of its divisors is an integer number (321371820).

Almost surely, 211143113312 is an apocalyptic number.

11143113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11143113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15425847360).

11143113312 is an abundant number, since it is smaller than the sum of its proper divisors (19708581408).

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

11143113312 is a wasteful number, since it uses less digits than its factorization.

11143113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12236 (or 12228 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 11143113312 its reverse (21331134111), we get a palindrome (32474247423).

The spelling of 11143113312 in words is "eleven billion, one hundred forty-three million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 523 608 912 1046 1569 1824 2092 3138 4184 6276 8368 9937 11681 12552 16736 19874 23362 25104 29811 35043 39748 46724 50208 59622 70086 79496 93448 119244 140172 158992 186896 221939 238488 280344 317984 373792 443878 476976 560688 665817 887756 953952 1121376 1331634 1775512 2663268 3551024 5326536 6109163 7102048 10653072 12218326 18327489 21306144 24436652 36654978 48873304 73309956 97746608 116074097 146619912 195493216 232148194 293239824 348222291 464296388 586479648 696444582 928592776 1392889164 1857185552 2785778328 3714371104 5571556656 11143113312