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1311112420 = 225173856213
BaseRepresentation
bin100111000100101…
…1111110011100100
310101101002102010021
41032021133303210
510141121044140
6334033404524
744330162122
oct11611376344
93341072107
101311112420
116130a8192
12307109744
1317b828c87
14c61b4912
157a187b4a
hex4e25fce4

1311112420 has 24 divisors (see below), whose sum is σ = 2915297784. Its totient is φ = 493595136.

The previous prime is 1311112399. The next prime is 1311112459. The reversal of 1311112420 is 242111131.

It can be written as a sum of positive squares in 4 ways, for example, as 503643364 + 807469056 = 22442^2 + 28416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1311112394 and 1311112403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1927767 + ... + 1928446.

It is an arithmetic number, because the mean of its divisors is an integer number (121470741).

Almost surely, 21311112420 is an apocalyptic number.

1311112420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311112420 is an abundant number, since it is smaller than the sum of its proper divisors (1604185364).

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

1311112420 is a wasteful number, since it uses less digits than its factorization.

1311112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856239 (or 3856237 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1311112420 is about 36209.2863779445. The cubic root of 1311112420 is about 1094.4938118961.

Adding to 1311112420 its reverse (242111131), we get a palindrome (1553223551).

The spelling of 1311112420 in words is "one billion, three hundred eleven million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3856213 7712426 15424852 19281065 38562130 65555621 77124260 131111242 262222484 327778105 655556210 1311112420