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11006216430 = 23511281118691
BaseRepresentation
bin10100100000000010…
…11000100011101110
31001102001010201120120
422100001120203232
5140020042411210
65020045225410
7536513203356
oct122001304356
931361121516
1011006216430
1147387a4340
122171b62266
1310652c3001
14765a4bb66
154463bb270
hex2900588ee

11006216430 has 64 divisors (see below), whose sum is σ = 28919068416. Its totient is φ = 2658656000.

The previous prime is 11006216413. The next prime is 11006216447. The reversal of 11006216430 is 3461260011.

It is an interprime number because it is at equal distance from previous prime (11006216413) and next prime (11006216447).

It is a super-2 number, since 2×110062164302 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006216430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33385 + ... + 152075.

It is an arithmetic number, because the mean of its divisors is an integer number (451860444).

Almost surely, 211006216430 is an apocalyptic number.

11006216430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006216430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14459534208).

11006216430 is an abundant number, since it is smaller than the sum of its proper divisors (17912851986).

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

11006216430 is a wasteful number, since it uses less digits than its factorization.

11006216430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118993.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11006216430 its reverse (3461260011), we get a palindrome (14467476441).

The spelling of 11006216430 in words is "eleven billion, six million, two hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 281 330 562 843 1405 1686 2810 3091 4215 6182 8430 9273 15455 18546 30910 46365 92730 118691 237382 356073 593455 712146 1186910 1305601 1780365 2611202 3560730 3916803 6528005 7833606 13056010 19584015 33352171 39168030 66704342 100056513 166760855 200113026 333521710 366873881 500282565 733747762 1000565130 1100621643 1834369405 2201243286 3668738810 5503108215 11006216430