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230011211232000 = 28325311129156239
BaseRepresentation
bin110100010011000110101000…
…100010100011001100000000
31010011101212010210020102010100
4310103012220202203030000
5220122000430033411000
62133105405224202400
766306522143634432
oct6423065042431400
91104355123212110
10230011211232000
116731a2303a69a0
1221969869309400
139b45c6c313303
1440b285dd48652
151b8d1bd22ea00
hexd131a88a3300

230011211232000 has 864 divisors, whose sum is σ = 903603537607680. Its totient is φ = 55716111360000.

The previous prime is 230011211231999. The next prime is 230011211232001. The reversal of 230011211232000 is 232112110032.

230011211232000 is a `hidden beast` number, since 2 + 300 + 11 + 21 + 12 + 320 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230011211231999) and next prime (230011211232001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230011211232001) 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 95 ways as a sum of consecutive naturals, for example, 4089859881 + ... + 4089916119.

Almost surely, 2230011211232000 is an apocalyptic number.

230011211232000 is a gapful number since it is divisible by the number (20) 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 230011211232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451801768803840).

230011211232000 is an abundant number, since it is smaller than the sum of its proper divisors (673592326375680).

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

230011211232000 is a wasteful number, since it uses less digits than its factorization.

230011211232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57578 (or 57551 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 230011211232000 its reverse (232112110032), we get a palindrome (230243323342032).

The spelling of 230011211232000 in words is "two hundred thirty trillion, eleven billion, two hundred eleven million, two hundred thirty-two thousand".