Search a number
-
+
10413121411301 = 7231812414433347
BaseRepresentation
bin1001011110000111111001…
…1001110001100011100101
31100212111002100001101021112
42113201332121301203211
52331102033040130201
634051415534354405
72123215566402620
oct227417631614345
940774070041245
1010413121411301
1133551a8626994
12120217135ba05
135a6c5106795b
1427ddd7c22db7
15130d087720bb
hex9787e6718e5

10413121411301 has 64 divisors (see below), whose sum is σ = 12570611429376. Its totient is φ = 8433461836800.

The previous prime is 10413121411289. The next prime is 10413121411339. The reversal of 10413121411301 is 10311412131401.

It is not a de Polignac number, because 10413121411301 - 226 = 10413054302437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413121411361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3111178910 + ... + 3111182256.

It is an arithmetic number, because the mean of its divisors is an integer number (196415803584).

Almost surely, 210413121411301 is an apocalyptic number.

It is an amenable number.

10413121411301 is a deficient number, since it is larger than the sum of its proper divisors (2157490018075).

10413121411301 is a wasteful number, since it uses less digits than its factorization.

10413121411301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 10413121411301 its reverse (10311412131401), we get a palindrome (20724533542702).

The spelling of 10413121411301 in words is "ten trillion, four hundred thirteen billion, one hundred twenty-one million, four hundred eleven thousand, three hundred one".

Divisors: 1 7 23 161 181 241 443 1267 1687 3101 3347 4163 5543 10189 23429 29141 38801 43621 71323 76981 80183 106763 305347 538867 561281 605807 747341 806627 1003283 1482721 1844209 2455549 4240649 5646389 7022981 10379047 12909463 13933561 17188843 18552421 19324103 34102583 97534927 129866947 135268721 145999487 238718081 268372501 357335761 444454369 1021996409 1878607507 2501350327 3111180583 3357988201 6172567523 8218722503 23505917407 43207972661 57531057521 64677772741 452744409187 1487588773043 10413121411301