Search a number
-
+
110312211140 = 2257375556309
BaseRepresentation
bin110011010111100011…
…1101100001011000100
3101112201211212221112122
41212233013230023010
53301404411224030
6122402101305112
710653432216005
oct1465707541304
9345654787478
10110312211140
1142868404a4a
1219467405198
13a5300b1b21
1454a68551ac
152d097198e5
hex19af1ec2c4

110312211140 has 24 divisors (see below), whose sum is σ = 234829011480. Its totient is φ = 43520433408.

The previous prime is 110312211133. The next prime is 110312211151. The reversal of 110312211140 is 41112213011.

It can be written as a sum of positive squares in 4 ways, for example, as 32033124484 + 78279086656 = 178978^2 + 279784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37776695 + ... + 37779614.

It is an arithmetic number, because the mean of its divisors is an integer number (9784542145).

Almost surely, 2110312211140 is an apocalyptic number.

110312211140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110312211140 is an abundant number, since it is smaller than the sum of its proper divisors (124516800340).

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

110312211140 is a wasteful number, since it uses less digits than its factorization.

110312211140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75556391 (or 75556389 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 110312211140 its reverse (41112213011), we get a palindrome (151424424151).

The spelling of 110312211140 in words is "one hundred ten billion, three hundred twelve million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 75556309 151112618 302225236 377781545 755563090 1511126180 5515610557 11031221114 22062442228 27578052785 55156105570 110312211140