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11201010000000 = 273573710091
BaseRepresentation
bin1010001011111111000000…
…1110001110000010000000
31110122210202122102200100020
42202333300032032002000
52432004132030000000
635453401205253440
72234150320040622
oct242776016160200
943583678380306
1011201010000000
11362935a154057
12130a9b7704280
13633334a71c62
142aa1bb848c12
1514656d637ba0
hexa2ff038e080

11201010000000 has 512 divisors, whose sum is σ = 38199699083520. Its totient is φ = 2905920000000.

The previous prime is 11201009999989. The next prime is 11201010000001. The reversal of 11201010000000 is 1010211.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (11201010000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1109994955 + ... + 1110005045.

Almost surely, 211201010000000 is an apocalyptic number.

11201010000000 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 11201010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19099849541760).

11201010000000 is an abundant number, since it is smaller than the sum of its proper divisors (26998689083520).

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

11201010000000 is an frugal number, since it uses more digits than its factorization.

11201010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11201010000000 its reverse (1010211), we get a palindrome (11201011010211).

The spelling of 11201010000000 in words is "eleven trillion, two hundred one billion, ten million", and thus it is an aban number.