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10041421313 = 71121011071097
BaseRepresentation
bin10010101101000001…
…11110111000000001
3221220210201001111002
421112200332320001
5131031100440223
64340222301345
7503556446540
oct112640767001
927823631432
1010041421313
114293136500
121b42a27855
13c40460c21
146b3866157
153db840e28
hex25683ee01

10041421313 has 48 divisors (see below), whose sum is σ = 12869684352. Its totient is φ = 7667616000.

The previous prime is 10041421289. The next prime is 10041421339. The reversal of 10041421313 is 31312414001.

10041421313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10041421313 - 26 = 10041421249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10041421343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9152981 + ... + 9154077.

It is an arithmetic number, because the mean of its divisors is an integer number (268118424).

Almost surely, 210041421313 is an apocalyptic number.

It is an amenable number.

10041421313 is a deficient number, since it is larger than the sum of its proper divisors (2828263039).

10041421313 is a wasteful number, since it uses less digits than its factorization.

10041421313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10041421313 its reverse (31312414001), we get a palindrome (41353835314).

The spelling of 10041421313 in words is "ten billion, forty-one million, four hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 7 11 77 101 107 121 707 749 847 1097 1111 1177 7679 7777 8239 10807 12067 12221 12947 75649 84469 85547 90629 110797 117379 118877 132737 775579 821653 832139 929159 1218767 1291169 1307647 8531369 9038183 9153529 11855279 13406437 14202859 82986953 93845059 99420013 130408069 912856483 1434488759 10041421313