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11230212000 = 253537271269
BaseRepresentation
bin10100111010101111…
…10110111110100000
31001222122121212201210
422131113312332200
5140444413241000
65054210230120
7545203140600
oct123527667640
931878555653
1011230212000
114843186547
122214b85340
13109c82c277
147876b8c00
1545adb5350
hex29d5f6fa0

11230212000 has 576 divisors, whose sum is σ = 43560840960. Its totient is φ = 2521344000.

The previous prime is 11230211999. The next prime is 11230212073. The reversal of 11230212000 is 21203211.

It is a super-2 number, since 2×112302120002 (a number of 21 digits) contains 22 as substring.

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, 41747866 + ... + 41748134.

It is an arithmetic number, because the mean of its divisors is an integer number (75626460).

Almost surely, 211230212000 is an apocalyptic number.

11230212000 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 11230212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21780420480).

11230212000 is an abundant number, since it is smaller than the sum of its proper divisors (32330628960).

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

11230212000 is a wasteful number, since it uses less digits than its factorization.

11230212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11230212000 its reverse (21203211), we get a palindrome (11251415211).

The spelling of 11230212000 in words is "eleven billion, two hundred thirty million, two hundred twelve thousand".