Search a number
-
+
30201320313333 = 3213273272003101
BaseRepresentation
bin1101101110111110010101…
…11110000001000111110101
310221221012212221101022101100
412313133022332001013311
512424304301000011313
6144122143420120313
76234654604666221
oct667371276010765
9127835787338340
1030201320313333
119694342a741a4
123479275096099
1313b0c84159300
14765a74959781
15375914102173
hex1b77caf811f5

30201320313333 has 36 divisors (see below), whose sum is σ = 47885058094692. Its totient is φ = 18330832915200.

The previous prime is 30201320313323. The next prime is 30201320313401. The reversal of 30201320313333 is 33331302310203.

30201320313333 is a `hidden beast` number, since 3 + 0 + 2 + 0 + 1 + 320 + 3 + 1 + 3 + 333 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7495647401124 + 22705672912209 = 2737818^2 + 4765047^2 .

It is not a de Polignac number, because 30201320313333 - 225 = 30201286758901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30201320313297 and 30201320313306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30201320313323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135890518 + ... + 136112583.

Almost surely, 230201320313333 is an apocalyptic number.

It is an amenable number.

30201320313333 is a deficient number, since it is larger than the sum of its proper divisors (17683737781359).

30201320313333 is a wasteful number, since it uses less digits than its factorization.

30201320313333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272003206 (or 272003190 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 30201320313333 its reverse (33331302310203), we get a palindrome (63532622623536).

The spelling of 30201320313333 in words is "thirty trillion, two hundred one billion, three hundred twenty million, three hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 73 117 169 219 507 657 949 1521 2847 8541 12337 37011 111033 272003101 816009303 2448027909 3536040313 10608120939 19856226373 31824362817 45968524069 59568679119 137905572207 178706037357 258130942849 413716716621 774392828547 2323178485641 3355702257037 10067106771111 30201320313333