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30201233210320 = 245377515415129
BaseRepresentation
bin1101101110111110001011…
…10001101111101111010000
310221221012122212111000111211
412313133011301233233100
512424304111200212240
6144122131025145504
76234652466430454
oct667370561575720
9127835585430454
1030201233210320
1196942a8891437
12347924ba8b294
1313b0c6c0acb73
14765a67164664
1537590b648bea
hex1b77c5c6fbd0

30201233210320 has 20 divisors (see below), whose sum is σ = 70217867214180. Its totient is φ = 12080493284096.

The previous prime is 30201233210311. The next prime is 30201233210339. The reversal of 30201233210320 is 2301233210203.

It can be written as a sum of positive squares in 2 ways, for example, as 23929394165824 + 6271839044496 = 4891768^2 + 2504364^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×302012332103203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 30201233210291 and 30201233210300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188757707485 + ... + 188757707644.

It is an arithmetic number, because the mean of its divisors is an integer number (3510893360709).

Almost surely, 230201233210320 is an apocalyptic number.

It is an amenable number.

30201233210320 is an abundant number, since it is smaller than the sum of its proper divisors (40016634003860).

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

30201233210320 is a wasteful number, since it uses less digits than its factorization.

30201233210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377515415142 (or 377515415136 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 30201233210320 its reverse (2301233210203), we get a palindrome (32502466420523).

The spelling of 30201233210320 in words is "thirty trillion, two hundred one billion, two hundred thirty-three million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 377515415129 755030830258 1510061660516 1887577075645 3020123321032 3775154151290 6040246642064 7550308302580 15100616605160 30201233210320