Search a number
-
+
1110201312 = 253111955333
BaseRepresentation
bin100001000101100…
…0101001111100000
32212101001001220010
41002023011033200
54233202420222
6302055244520
736340361343
oct10213051740
92771031803
101110201312
1151a752750
1226b979740
1314901306c
14a763645a
15676ed80c
hex422c53e0

1110201312 has 96 divisors (see below), whose sum is σ = 3346600320. Its totient is φ = 318712320.

The previous prime is 1110201311. The next prime is 1110201349. The reversal of 1110201312 is 2131020111.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110201311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7603 + ... + 47730.

It is an arithmetic number, because the mean of its divisors is an integer number (34860420).

Almost surely, 21110201312 is an apocalyptic number.

1110201312 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 1110201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673300160).

1110201312 is an abundant number, since it is smaller than the sum of its proper divisors (2236399008).

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

1110201312 is a wasteful number, since it uses less digits than its factorization.

1110201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55376 (or 55368 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1110201312 is about 33319.6835519187. The cubic root of 1110201312 is about 1035.4613957201.

Adding to 1110201312 its reverse (2131020111), we get a palindrome (3241221423).

The spelling of 1110201312 in words is "one billion, one hundred ten million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 55333 110666 165999 221332 331998 442664 608663 663996 885328 1051327 1217326 1327992 1770656 1825989 2102654 2434652 2655984 3153981 3651978 4205308 4869304 5311968 6307962 7303956 8410616 9738608 11564597 12615924 14607912 16821232 19477216 23129194 25231848 29215824 33642464 34693791 46258388 50463696 58431648 69387582 92516776 100927392 138775164 185033552 277550328 370067104 555100656 1110201312