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230230110000 = 24354113671901
BaseRepresentation
bin1101011001101011001…
…0001010111100110000
3211000021010120101110010
43112122302022330300
512233002402010000
6253433302134520
722430213434332
oct3263262127460
9730233511403
10230230110000
1189704993290
1238753721440
1318931281627
14b200d09452
155ec73a3d50
hex359ac8af30

230230110000 has 400 divisors, whose sum is σ = 813415223808. Its totient is φ = 55632000000.

The previous prime is 230230109987. The next prime is 230230110007. The reversal of 230230110000 is 11032032.

It is a happy number.

230230110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2302301100002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (230230110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 121109050 + ... + 121110950.

Almost surely, 2230230110000 is an apocalyptic number.

230230110000 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 230230110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406707611904).

230230110000 is an abundant number, since it is smaller than the sum of its proper divisors (583185113808).

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

230230110000 is a wasteful number, since it uses less digits than its factorization.

230230110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 230230110000 its reverse (11032032), we get a palindrome (230241142032).

The spelling of 230230110000 in words is "two hundred thirty billion, two hundred thirty million, one hundred ten thousand".