Search a number
-
+
11302202130000 = 243544383283373
BaseRepresentation
bin1010010001110111111110…
…1111100011111001010000
31111000110221220021111111220
42210131333233203321100
52440133402221130000
640012054320005040
72244362050666035
oct244357757437120
944013856244456
1011302202130000
113668267500061
121326538760780
1363ca4054b962
142b105ad4b38c
15148ee23561a0
hexa477fbe3e50

11302202130000 has 800 divisors, whose sum is σ = 38018468995584. Its totient is φ = 2890315008000.

The previous prime is 11302202129983. The next prime is 11302202130031. The reversal of 11302202130000 is 3120220311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30300809814 + ... + 30300810186.

Almost surely, 211302202130000 is an apocalyptic number.

11302202130000 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 11302202130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19009234497792).

11302202130000 is an abundant number, since it is smaller than the sum of its proper divisors (26716266865584).

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

11302202130000 is a wasteful number, since it uses less digits than its factorization.

11302202130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11302202130000 its reverse (3120220311), we get a palindrome (11305322350311).

The spelling of 11302202130000 in words is "eleven trillion, three hundred two billion, two hundred two million, one hundred thirty thousand".