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11340103120 = 245141751289
BaseRepresentation
bin10101000111110110…
…00011110111010000
31002021022101221000021
422203323003313100
5141211031244440
65113133433224
7551006200063
oct124373036720
932238357007
1011340103120
11489a213355
12224593b814
1310b9526bb8
147981228da
1546587084a
hex2a3ec3dd0

11340103120 has 20 divisors (see below), whose sum is σ = 26365739940. Its totient is φ = 4536041216.

The previous prime is 11340103109. The next prime is 11340103207. The reversal of 11340103120 is 2130104311.

It can be written as a sum of positive squares in 2 ways, for example, as 3529785744 + 7810317376 = 59412^2 + 88376^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11340103094 and 11340103103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70875565 + ... + 70875724.

It is an arithmetic number, because the mean of its divisors is an integer number (1318286997).

Almost surely, 211340103120 is an apocalyptic number.

11340103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11340103120 is an abundant number, since it is smaller than the sum of its proper divisors (15025636820).

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

11340103120 is a wasteful number, since it uses less digits than its factorization.

11340103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141751302 (or 141751296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11340103120 its reverse (2130104311), we get a palindrome (13470207431).

The spelling of 11340103120 in words is "eleven billion, three hundred forty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 141751289 283502578 567005156 708756445 1134010312 1417512890 2268020624 2835025780 5670051560 11340103120