Search a number
-
+
30332310010200 = 2332521123223298681
BaseRepresentation
bin1101110010110010010101…
…00100000011100101011000
310222101201222211121100212200
412321121022210003211120
512433431032330311300
6144302245412010200
76250302630023202
oct671311244034530
9128351884540780
1030332310010200
11973495126a220
12349a731300960
1313c042b0a1493
1476c13d64d772
1537902dcae200
hex1b964a903958

30332310010200 has 576 divisors, whose sum is σ = 116478524897280. Its totient is φ = 7002014976000.

The previous prime is 30332310010199. The next prime is 30332310010201. The reversal of 30332310010200 is 201001323303.

30332310010200 is a `hidden beast` number, since 3 + 0 + 332 + 310 + 0 + 1 + 0 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30332310010199) and next prime (30332310010201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30332310010201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101404860 + ... + 101703540.

It is an arithmetic number, because the mean of its divisors is an integer number (202219661280).

Almost surely, 230332310010200 is an apocalyptic number.

30332310010200 is a gapful number since it is divisible by the number (30) 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 30332310010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58239262448640).

30332310010200 is an abundant number, since it is smaller than the sum of its proper divisors (86146214887080).

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

30332310010200 is a wasteful number, since it uses less digits than its factorization.

30332310010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298960 (or 298948 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30332310010200 its reverse (201001323303), we get a palindrome (30533311333503).

The spelling of 30332310010200 in words is "thirty trillion, three hundred thirty-two billion, three hundred ten million, ten thousand, two hundred".