Search a number
-
+
30201013220 = 22575910734171
BaseRepresentation
bin11100001000000111…
…101110001111100100
32212221202112102200012
4130020013232033210
5443322424410340
621512452305352
72116260243140
oct341007561744
985852472605
1030201013220
1111898759264
125a2a312258
132b03c15631
141667012220
15bbb5d3565
hex7081ee3e4

30201013220 has 96 divisors (see below), whose sum is σ = 74402012160. Its totient is φ = 10083703680.

The previous prime is 30201013217. The next prime is 30201013231. The reversal of 30201013220 is 2231010203.

It is a happy number.

It is a super-2 number, since 2×302010132202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 30201013195 and 30201013204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866735 + ... + 900905.

It is an arithmetic number, because the mean of its divisors is an integer number (775020960).

Almost surely, 230201013220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30201013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37201006080).

30201013220 is an abundant number, since it is smaller than the sum of its proper divisors (44200998940).

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

30201013220 is a wasteful number, since it uses less digits than its factorization.

30201013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34353 (or 34351 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 30201013220 its reverse (2231010203), we get a palindrome (32432023423).

The spelling of 30201013220 in words is "thirty billion, two hundred one million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 107 118 140 214 236 295 413 428 535 590 749 826 1070 1180 1498 1652 2065 2140 2996 3745 4130 6313 7490 8260 12626 14980 25252 31565 34171 44191 63130 68342 88382 126260 136684 170855 176764 220955 239197 341710 441910 478394 683420 883820 956788 1195985 2016089 2391970 3656297 4032178 4783940 7312594 8064356 10080445 14112623 14625188 18281485 20160890 25594079 28225246 36562970 40321780 51188158 56450492 70563115 73125940 102376316 127970395 141126230 215721523 255940790 282252460 431443046 511881580 862886092 1078607615 1510050661 2157215230 3020101322 4314430460 6040202644 7550253305 15100506610 30201013220