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10024241297 = 722910336829
BaseRepresentation
bin10010101010111110…
…11100100010010001
3221212121101012221012
421111133130202101
5131012201210142
64334410140305
7503260434200
oct112537344221
927777335835
1010024241297
114284471944
121b39121695
13c39a27235
146b1473237
153da09a882
hex2557dc891

10024241297 has 24 divisors (see below), whose sum is σ = 12076396200. Its totient is φ = 8286679296.

The previous prime is 10024241237. The next prime is 10024241309. The reversal of 10024241297 is 79214242001.

It is a happy number.

10024241297 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 4 ways, for example, as 4411085056 + 5613156241 = 66416^2 + 74921^2 .

It is a de Polignac number, because none of the positive numbers 2k-10024241297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10024241207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464479 + ... + 1471307.

It is an arithmetic number, because the mean of its divisors is an integer number (503183175).

Almost surely, 210024241297 is an apocalyptic number.

It is an amenable number.

10024241297 is a deficient number, since it is larger than the sum of its proper divisors (2052154903).

10024241297 is a wasteful number, since it uses less digits than its factorization.

10024241297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905 (or 7898 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

Adding to 10024241297 its reverse (79214242001), we get a palindrome (89238483298).

The spelling of 10024241297 in words is "ten billion, twenty-four million, two hundred forty-one thousand, two hundred ninety-seven".

Divisors: 1 7 29 49 203 1033 1421 6829 7231 29957 47803 50617 198041 209699 334621 1386287 1467893 7054357 9704009 49380499 204576353 345663493 1432034471 10024241297