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11210212200 = 233521167101251
BaseRepresentation
bin10100111000010111…
…00100001101101000
31001221020222210011110
422130023210031220
5140424303242300
65052213430320
7544541142255
oct123413441550
931836883143
1011210212200
114832966390
12220a33b3a0
131098648c75
14784b9042c
15459264550
hex29c2e4368

11210212200 has 384 divisors, whose sum is σ = 39012503040. Its totient is φ = 2640000000.

The previous prime is 11210212171. The next prime is 11210212217. The reversal of 11210212200 is 221201211.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 44662075 + ... + 44662325.

It is an arithmetic number, because the mean of its divisors is an integer number (101595060).

Almost surely, 211210212200 is an apocalyptic number.

11210212200 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 11210212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19506251520).

11210212200 is an abundant number, since it is smaller than the sum of its proper divisors (27802290840).

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

11210212200 is a wasteful number, since it uses less digits than its factorization.

11210212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11210212200 its reverse (221201211), we get a palindrome (11431413411).

The spelling of 11210212200 in words is "eleven billion, two hundred ten million, two hundred twelve thousand, two hundred".