Search a number
-
+
30003222120 = 23351132212627
BaseRepresentation
bin11011111100010101…
…001101011001101000
32212102222100121021220
4123330111031121220
5442421311101440
621441105102040
72111336115534
oct337425153150
985388317256
1030003222120
11117a7044943
125994027920
132aa1c52891
141648a46bc4
15ba90638d0
hex6fc54d668

30003222120 has 64 divisors (see below), whose sum is σ = 90806253120. Its totient is φ = 7930051584.

The previous prime is 30003222101. The next prime is 30003222127. The reversal of 30003222120 is 2122230003.

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 30003222120.

It is not an unprimeable number, because it can be changed into a prime (30003222127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092754 + ... + 1119873.

It is an arithmetic number, because the mean of its divisors is an integer number (1418847705).

Almost surely, 230003222120 is an apocalyptic number.

30003222120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30003222120 is an abundant number, since it is smaller than the sum of its proper divisors (60803031000).

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

30003222120 is a wasteful number, since it uses less digits than its factorization.

30003222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212754 (or 2212750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30003222120 its reverse (2122230003), we get a palindrome (32125452123).

The spelling of 30003222120 in words is "thirty billion, three million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 2212627 4425254 6637881 8850508 11063135 13275762 17701016 22126270 26551524 33189405 44252540 53103048 66378810 88505080 132757620 250026851 265515240 500053702 750080553 1000107404 1250134255 1500161106 2000214808 2500268510 3000322212 3750402765 5000537020 6000644424 7500805530 10001074040 15001611060 30003222120