Search a number
-
+
30100021120000 = 210541323315527
BaseRepresentation
bin1101101100000001101010…
…00100010000110000000000
310221120112102020002002221001
412312000311010100300000
512421124320401320000
6144003431522541344
76224440404030106
oct666006504206000
9127515366062831
1030100021120000
1196553902419a7
123461704207854
1313a455c434b20
14760bc5147c76
15372e85cd646a
hex1b6035110c00

30100021120000 has 440 divisors, whose sum is σ = 81325790241696. Its totient is φ = 11065442304000.

The previous prime is 30100021119937. The next prime is 30100021120007. The reversal of 30100021120000 is 2112000103.

It is a super-2 number, since 2×301000211200002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (30100021120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1938552237 + ... + 1938567763.

Almost surely, 230100021120000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30100021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40662895120848).

30100021120000 is an abundant number, since it is smaller than the sum of its proper divisors (51225769121696).

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

30100021120000 is a wasteful number, since it uses less digits than its factorization.

30100021120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15813 (or 15780 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 30100021120000 its reverse (2112000103), we get a palindrome (30102133120103).

The spelling of 30100021120000 in words is "thirty trillion, one hundred billion, twenty-one million, one hundred twenty thousand".