Search a number
-
+
230301210000 = 24354172101263
BaseRepresentation
bin1101011001111100000…
…1011001010110010000
3211000110002100122022110
43112133001121112100
512233124102210000
6253444322105320
722432035662061
oct3263701312620
9730402318273
10230301210000
1189741035814
12387734ab240
1318942c16a34
14b20a536568
155ecd74a850
hex359f059590

230301210000 has 600 divisors, whose sum is σ = 800599276224. Its totient is φ = 57011200000.

The previous prime is 230301209993. The next prime is 230301210037. The reversal of 230301210000 is 12103032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 875669869 + ... + 875670131.

Almost surely, 2230301210000 is an apocalyptic number.

230301210000 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 230301210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400299638112).

230301210000 is an abundant number, since it is smaller than the sum of its proper divisors (570298066224).

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

230301210000 is a wasteful number, since it uses less digits than its factorization.

230301210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 391 counting only the distinct ones).

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

Adding to 230301210000 its reverse (12103032), we get a palindrome (230313313032).

The spelling of 230301210000 in words is "two hundred thirty billion, three hundred one million, two hundred ten thousand".