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11210110200 = 23325219433757
BaseRepresentation
bin10100111000010110…
…01011010011111000
31001221020210121020200
422130023023103320
5140424242011300
65052211322200
7544540236012
oct123413132370
931836717220
1011210110200
1148328a6793
12220a2b0360
131098611703
14784b651b2
15459244200
hex29c2cb4f8

11210110200 has 288 divisors, whose sum is σ = 39772714800. Its totient is φ = 2821754880.

The previous prime is 11210110193. The next prime is 11210110279. The reversal of 11210110200 is 201101211.

It is a happy number.

11210110200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112101102002 (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14808222 + ... + 14808978.

Almost surely, 211210110200 is an apocalyptic number.

11210110200 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 11210110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19886357400).

11210110200 is an abundant number, since it is smaller than the sum of its proper divisors (28562604600).

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

11210110200 is a wasteful number, since it uses less digits than its factorization.

11210110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1219 counting only the distinct ones).

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

Adding to 11210110200 its reverse (201101211), we get a palindrome (11411211411).

The spelling of 11210110200 in words is "eleven billion, two hundred ten million, one hundred ten thousand, two hundred".