Search a number
-
+
11341200780 = 223257133718713
BaseRepresentation
bin10101000111111110…
…01111110110001100
31002021101110200201100
422203333033312030
5141211321411110
65113213143100
7551021421210
oct124377176614
932241420640
1011341200780
11489a8a3008
12224618aa90
1310b981c6c0
1479832a940
154659dabc0
hex2a3fcfd8c

11341200780 has 288 divisors, whose sum is σ = 43487144064. Its totient is φ = 2328072192.

The previous prime is 11341200779. The next prime is 11341200853. The reversal of 11341200780 is 8700214311.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 596704 + ... + 615416.

It is an arithmetic number, because the mean of its divisors is an integer number (150997028).

Almost surely, 211341200780 is an apocalyptic number.

11341200780 is a gapful number since it is divisible by the number (10) 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 11341200780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21743572032).

11341200780 is an abundant number, since it is smaller than the sum of its proper divisors (32145943284).

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

11341200780 is a wasteful number, since it uses less digits than its factorization.

11341200780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18785 (or 18780 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11341200780 in words is "eleven billion, three hundred forty-one million, two hundred thousand, seven hundred eighty".