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30132030120 = 23351721914549
BaseRepresentation
bin11100000100000000…
…100100101010101000
32212202221201201122120
4130010000210222220
5443202244430440
621501545551240
72114462013213
oct340400445250
985687651576
1030132030120
1111862822235
125a0b1a5520
132ac284192a
14165bbb677a
15bb5508dd0
hex704024aa8

30132030120 has 192 divisors, whose sum is σ = 96550272000. Its totient is φ = 7521300480.

The previous prime is 30132030091. The next prime is 30132030121. The reversal of 30132030120 is 2103023103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30132030120.

It is not an unprimeable number, because it can be changed into a prime (30132030121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6621606 + ... + 6626154.

It is an arithmetic number, because the mean of its divisors is an integer number (502866000).

Almost surely, 230132030120 is an apocalyptic number.

30132030120 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 30132030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48275136000).

30132030120 is an abundant number, since it is smaller than the sum of its proper divisors (66418241880).

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

30132030120 is a wasteful number, since it uses less digits than its factorization.

30132030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30132030120 its reverse (2103023103), we get a palindrome (32235053223).

The spelling of 30132030120 in words is "thirty billion, one hundred thirty-two million, thirty thousand, one hundred twenty".