Search a number
-
+
311103012 = 2231111320857
BaseRepresentation
bin10010100010110…
…000111000100100
3210200101200002210
4102202300320210
51114120244022
650512003420
710465221603
oct2242607044
9720350083
10311103012
1114a678330
1288230570
134c5b772c
142d463a3a
151c4a3a0c
hex128b0e24

311103012 has 48 divisors (see below), whose sum is σ = 798944832. Its totient is φ = 93434880.

The previous prime is 311102983. The next prime is 311103019. The reversal of 311103012 is 210301113.

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

It is not an unprimeable number, because it can be changed into a prime (311103019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4488 + ... + 25344.

It is an arithmetic number, because the mean of its divisors is an integer number (16644684).

Almost surely, 2311103012 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 311103012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399472416).

311103012 is an abundant number, since it is smaller than the sum of its proper divisors (487841820).

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

311103012 is a wasteful number, since it uses less digits than its factorization.

311103012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20988 (or 20986 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 311103012 is about 17638.1124840500. The cubic root of 311103012 is about 677.5916912253.

Adding to 311103012 its reverse (210301113), we get a palindrome (521404125).

The spelling of 311103012 in words is "three hundred eleven million, one hundred three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 1243 1356 2486 3729 4972 7458 14916 20857 41714 62571 83428 125142 229427 250284 458854 688281 917708 1376562 2356841 2753124 4713682 7070523 9427364 14141046 25925251 28282092 51850502 77775753 103701004 155551506 311103012