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13220312301 = 3272310978317
BaseRepresentation
bin11000100111111110…
…11111010011101101
31021010100100110010100
430103333133103231
5204033344443201
610023501101313
7645416541360
oct142377372355
937110313110
1013220312301
115674581339
12268b557839
131328c1b601
148d5b180d7
1552596e886
hex313fdf4ed

13220312301 has 48 divisors (see below), whose sum is σ = 22796377344. Its totient is φ = 7218554112.

The previous prime is 13220312279. The next prime is 13220312311. The reversal of 13220312301 is 10321302231.

13220312301 is a `hidden beast` number, since 1 + 32 + 20 + 312 + 301 = 666.

It is not a de Polignac number, because 13220312301 - 215 = 13220279533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220312311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1585395 + ... + 1593711.

It is an arithmetic number, because the mean of its divisors is an integer number (474924528).

Almost surely, 213220312301 is an apocalyptic number.

It is an amenable number.

13220312301 is a deficient number, since it is larger than the sum of its proper divisors (9576065043).

13220312301 is a wasteful number, since it uses less digits than its factorization.

13220312301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9447 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13220312301 its reverse (10321302231), we get a palindrome (23541614532).

The spelling of 13220312301 in words is "thirteen billion, two hundred twenty million, three hundred twelve thousand, three hundred one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1097 1449 3291 7679 8317 9873 23037 24951 25231 58219 69111 74853 75693 174657 176617 191291 227079 523971 529851 573873 1339037 1589553 1721619 4017111 9123749 12051333 27371247 63866243 82113741 191598729 209846227 574796187 629538681 1468923589 1888616043 4406770767 13220312301