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30201301220 = 22529509102301
BaseRepresentation
bin11100001000001000…
…110100100011100100
32212221210002001201212
4130020020310203210
5443323013114340
621512502410552
72116262552606
oct341010644344
985853061655
1030201301220
1111898935682
125a2a430a58
132b03cb674c
141667089176
15bbb63da65
hex7082348e4

30201301220 has 48 divisors (see below), whose sum is σ = 65739265200. Its totient is φ = 11640921600.

The previous prime is 30201301177. The next prime is 30201301241. The reversal of 30201301220 is 2210310203.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 45589504 + 30155711716 = 6752^2 + 173654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30201301195 and 30201301204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244070 + ... + 346370.

It is an arithmetic number, because the mean of its divisors is an integer number (1369568025).

Almost surely, 230201301220 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 30201301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32869632600).

30201301220 is an abundant number, since it is smaller than the sum of its proper divisors (35537963980).

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

30201301220 is a wasteful number, since it uses less digits than its factorization.

30201301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102848 (or 102846 counting only the distinct ones).

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

Adding to 30201301220 its reverse (2210310203), we get a palindrome (32411611423).

The spelling of 30201301220 in words is "thirty billion, two hundred one million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 509 580 1018 2036 2545 5090 10180 14761 29522 59044 73805 102301 147610 204602 295220 409204 511505 1023010 2046020 2966729 5933458 11866916 14833645 29667290 52071209 59334580 104142418 208284836 260356045 520712090 1041424180 1510065061 3020130122 6040260244 7550325305 15100650610 30201301220