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11210211000 = 23335329103139
BaseRepresentation
bin10100111000010111…
…00011111010111000
31001221020222201112000
422130023203322320
5140424303223000
65052213421000
7544541135622
oct123413437270
931836881460
1011210211000
11483296549a
12220a33a760
131098648561
14784b8dc12
15459264000
hex29c2e3eb8

11210211000 has 512 divisors, whose sum is σ = 40884480000. Its totient is φ = 2837721600.

The previous prime is 11210210993. The next prime is 11210211073. The reversal of 11210211000 is 11201211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80648931 + ... + 80649069.

It is an arithmetic number, because the mean of its divisors is an integer number (79852500).

Almost surely, 211210211000 is an apocalyptic number.

11210211000 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 11210211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240000).

11210211000 is an abundant number, since it is smaller than the sum of its proper divisors (29674269000).

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

11210211000 is a wasteful number, since it uses less digits than its factorization.

11210211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11210211000 its reverse (11201211), we get a palindrome (11221412211).

The spelling of 11210211000 in words is "eleven billion, two hundred ten million, two hundred eleven thousand".