Search a number
-
+
130030233012000 = 25335317173409379
BaseRepresentation
bin11101100100001100000101…
…110110010100011100100000
3122001101202202111202102112000
4131210030011312110130200
5114020403404122341000
61140315021524204000
736250242251106546
oct3544140566243440
9561352674672460
10130030233012000
113848256a721662
1212700891b39600
135772a4bcc24b9
1424176d553dd96
1510075b889d000
hex764305d94720

130030233012000 has 768 divisors, whose sum is σ = 504049878259200. Its totient is φ = 32446317772800.

The previous prime is 130030233011971. The next prime is 130030233012007. The reversal of 130030233012000 is 210332030031.

130030233012000 is a `hidden beast` number, since 1 + 30 + 0 + 302 + 330 + 1 + 2 + 0 + 0 + 0 = 666.

130030233012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1300302330120003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (130030233012007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 317423311 + ... + 317832689.

It is an arithmetic number, because the mean of its divisors is an integer number (656314945650).

Almost surely, 2130030233012000 is an apocalyptic number.

130030233012000 is a gapful number since it is divisible by the number (10) 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 130030233012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252024939129600).

130030233012000 is an abundant number, since it is smaller than the sum of its proper divisors (374019645247200).

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

130030233012000 is a wasteful number, since it uses less digits than its factorization.

130030233012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409603 (or 409579 counting only the distinct ones).

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

Adding to 130030233012000 its reverse (210332030031), we get a palindrome (130240565042031).

The spelling of 130030233012000 in words is "one hundred thirty trillion, thirty billion, two hundred thirty-three million, twelve thousand".