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30030030000 = 243254333667
BaseRepresentation
bin11011111101111011…
…011110010010110000
32212111211210120210100
4123331323132102300
5443000141430000
621443503432400
72112113020605
oct337573362260
985454716710
1030030030000
1111810195013
1259a0bb5700
132aa767a929
14164c4246ac
15bab5aba00
hex6fdede4b0

30030030000 has 150 divisors (see below), whose sum is σ = 105019667324. Its totient is φ = 8007984000.

The previous prime is 30030029993. The next prime is 30030030007. The reversal of 30030030000 is 3003003.

It is an interprime number because it is at equal distance from previous prime (30030029993) and next prime (30030030007).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is not an unprimeable number, because it can be changed into a prime (30030030007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 76834 + ... + 256833.

Almost surely, 230030030000 is an apocalyptic number.

30030030000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30030030000 is an abundant number, since it is smaller than the sum of its proper divisors (74989637324).

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

30030030000 is a wasteful number, since it uses less digits than its factorization.

30030030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333701 (or 333677 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 9.

Adding to 30030030000 its reverse (3003003), we get a palindrome (30033033003).

30030030000 divided by its reverse (3003003) gives a 4-th power (10000 = 104).

The spelling of 30030030000 in words is "thirty billion, thirty million, thirty thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 333667 667334 1001001 1334668 1668335 2002002 2669336 3003003 3336670 4004004 5005005 5338672 6006006 6673340 8008008 8341675 10010010 12012012 13346680 15015015 16016016 16683350 20020020 24024024 25025025 26693360 30030030 33366700 40040040 41708375 48048048 50050050 60060060 66733400 75075075 80080080 83416750 100100100 120120120 125125125 133466800 150150150 166833500 200200200 208541875 240240240 250250250 300300300 333667000 375375375 400400400 417083750 500500500 600600600 625625625 667334000 750750750 834167500 1001001000 1201201200 1251251250 1501501500 1668335000 1876876875 2002002000 2502502500 3003003000 3336670000 3753753750 5005005000 6006006000 7507507500 10010010000 15015015000 30030030000