Search a number
-
+
311014112 = 25611371163
BaseRepresentation
bin10010100010011…
…011001011100000
3210200020011011012
4102202123023200
51114104422422
650510040052
710464401453
oct2242331340
9720204135
10311014112
1114a617562
12881a9028
134c586126
142d43d49a
151c4874e2
hex1289b2e0

311014112 has 48 divisors (see below), whose sum is σ = 627428592. Its totient is φ = 151710720.

The previous prime is 311014079. The next prime is 311014127. The reversal of 311014112 is 211410113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266843 + ... + 268005.

It is an arithmetic number, because the mean of its divisors is an integer number (13071429).

Almost surely, 2311014112 is an apocalyptic number.

311014112 is a gapful number since it is divisible by the number (32) 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 311014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313714296).

311014112 is an abundant number, since it is smaller than the sum of its proper divisors (316414480).

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

311014112 is a wasteful number, since it uses less digits than its factorization.

311014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 311014112 is about 17635.5921930623. The cubic root of 311014112 is about 677.5271427877.

Adding to 311014112 its reverse (211410113), we get a palindrome (522424225).

The spelling of 311014112 in words is "three hundred eleven million, fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 122 137 244 274 488 548 976 1096 1163 1952 2192 2326 4384 4652 8357 9304 16714 18608 33428 37216 66856 70943 133712 141886 159331 267424 283772 318662 567544 637324 1135088 1274648 2270176 2549296 5098592 9719191 19438382 38876764 77753528 155507056 311014112