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230443102120 = 235711239367853
BaseRepresentation
bin1101011010011101111…
…0101010111110101000
3211000210222100111201011
43112213132222332220
512233421413231440
6253510351233304
722435411022530
oct3264736527650
9730728314634
10230443102120
118980413a430
12387b2b18834
131896643737a
14b2213104c0
155edae279ea
hex35a77aafa8

230443102120 has 256 divisors, whose sum is σ = 651674419200. Its totient is φ = 71247375360.

The previous prime is 230443102117. The next prime is 230443102129. The reversal of 230443102120 is 21201344032.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 230443102091 and 230443102100.

It is not an unprimeable number, because it can be changed into a prime (230443102129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270155614 + ... + 270156466.

It is an arithmetic number, because the mean of its divisors is an integer number (2545603200).

Almost surely, 2230443102120 is an apocalyptic number.

230443102120 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 230443102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325837209600).

230443102120 is an abundant number, since it is smaller than the sum of its proper divisors (421231317080).

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

230443102120 is a wasteful number, since it uses less digits than its factorization.

230443102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 230443102120 its reverse (21201344032), we get a palindrome (251644446152).

The spelling of 230443102120 in words is "two hundred thirty billion, four hundred forty-three million, one hundred two thousand, one hundred twenty".