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30060030060 = 223251011679901
BaseRepresentation
bin11011111111101101…
…111010100001101100
32212120221020202010200
4123333231322201230
5443030331430220
621450454433500
72112626016414
oct337755724154
985527222120
1030060030060
1111826115555
1259ab062890
132ab0952948
1416523d3644
15bae035890
hex6ffb7a86c

30060030060 has 144 divisors (see below), whose sum is σ = 92645646912. Its totient is φ = 7888320000.

The previous prime is 30060030053. The next prime is 30060030101. The reversal of 30060030060 is 6003006003.

30060030060 is a `hidden beast` number, since 3 + 0 + 0 + 600 + 3 + 0 + 0 + 60 = 666.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3031110 + ... + 3041010.

It is an arithmetic number, because the mean of its divisors is an integer number (643372548).

Almost surely, 230060030060 is an apocalyptic number.

30060030060 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 30060030060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46322823456).

30060030060 is an abundant number, since it is smaller than the sum of its proper divisors (62585616852).

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

30060030060 is a wasteful number, since it uses less digits than its factorization.

30060030060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184 (or 10179 counting only the distinct ones).

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

Adding to 30060030060 its reverse (6003006003), we get a palindrome (36063036063).

The spelling of 30060030060 in words is "thirty billion, sixty million, thirty thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 167 180 202 303 334 404 501 505 606 668 835 909 1002 1010 1212 1503 1515 1670 1818 2004 2020 2505 3006 3030 3340 3636 4545 5010 6012 6060 7515 9090 9901 10020 15030 16867 18180 19802 29703 30060 33734 39604 49505 50601 59406 67468 84335 89109 99010 101202 118812 148515 151803 168670 178218 198020 202404 253005 297030 303606 337340 356436 445545 506010 594060 607212 759015 891090 1000001 1012020 1518030 1653467 1782180 2000002 3000003 3036060 3306934 4000004 4960401 5000005 6000006 6613868 8267335 9000009 9920802 10000010 12000012 14881203 15000015 16534670 18000018 19841604 20000020 24802005 29762406 30000030 33069340 36000036 45000045 49604010 59524812 60000060 74406015 90000090 99208020 148812030 167000167 180000180 297624060 334000334 501000501 668000668 835000835 1002001002 1503001503 1670001670 2004002004 2505002505 3006003006 3340003340 5010005010 6012006012 7515007515 10020010020 15030015030 30060030060