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11221012210200 = 233521310313139493
BaseRepresentation
bin1010001101001001100001…
…1100100110001000011000
31110201201101122010020102020
42203102120130212020120
52432321113111211300
635510510054134440
72235456100031352
oct243223034461030
943651348106366
1011221012210200
113636893952691
12131285a351420
136351a1a418b0
142ab1581480d2
15146d3e68d8a0
hexa3498726218

11221012210200 has 192 divisors, whose sum is σ = 37464818660640. Its totient is φ = 2761807687680.

The previous prime is 11221012210183. The next prime is 11221012210201. The reversal of 11221012210200 is 201221012211.

It is a super-2 number, since 2×112210122102002 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11221012210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221012210201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 80371654 + ... + 80511146.

Almost surely, 211221012210200 is an apocalyptic number.

11221012210200 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 11221012210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18732409330320).

11221012210200 is an abundant number, since it is smaller than the sum of its proper divisors (26243806450440).

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

11221012210200 is a wasteful number, since it uses less digits than its factorization.

11221012210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149838 (or 149829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11221012210200 its reverse (201221012211), we get a palindrome (11422233222411).

The spelling of 11221012210200 in words is "eleven trillion, two hundred twenty-one billion, twelve million, two hundred ten thousand, two hundred".