Search a number
-
+
13023221002301 = 971015441244313
BaseRepresentation
bin1011110110000011010001…
…1101100011000000111101
31201010000012122220200000202
42331200310131203000331
53201333024034033201
643410441331133245
72512616362020506
oct275406435430075
951100178820022
1013023221002301
114171131817494
121563ba2444225
13736113776273
14330482001bad
15178b6d09dc6b
hexbd83476303d

13023221002301 has 16 divisors (see below), whose sum is σ = 13290249652848. Its totient is φ = 12758949888000.

The previous prime is 13023221002291. The next prime is 13023221002321. The reversal of 13023221002301 is 10320012232031.

13023221002301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 89401 + 13023220912900 = 299^2 + 3608770^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13023221002301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023221002321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53183321 + ... + 53427633.

It is an arithmetic number, because the mean of its divisors is an integer number (830640603303).

Almost surely, 213023221002301 is an apocalyptic number.

It is an amenable number.

13023221002301 is a deficient number, since it is larger than the sum of its proper divisors (267028650547).

13023221002301 is a wasteful number, since it uses less digits than its factorization.

13023221002301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249952.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13023221002301 its reverse (10320012232031), we get a palindrome (23343233234332).

The spelling of 13023221002301 in words is "thirteen trillion, twenty-three billion, two hundred twenty-one million, two thousand, three hundred one".

Divisors: 1 97 101 5441 9797 244313 527777 549541 23698361 24675613 53305477 1329307033 2393534461 128942782201 134260010333 13023221002301