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10024241331 = 3131941329951
BaseRepresentation
bin10010101010111110…
…11100100010110011
3221212121101012222110
421111133130202303
5131012201210311
64334410140403
7503260434246
oct112537344263
927777335873
1010024241331
114284471975
121b39121703
13c39a27260
146b147325d
153da09a8a6
hex2557dc8b3

10024241331 has 32 divisors (see below), whose sum is σ = 15520942080. Its totient is φ = 5701536000.

The previous prime is 10024241329. The next prime is 10024241341. The reversal of 10024241331 is 13314242001.

It is not a de Polignac number, because 10024241331 - 21 = 10024241329 is a prime.

It is a super-2 number, since 2×100242413312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10024241298 and 10024241307.

It is not an unprimeable number, because it can be changed into a prime (10024241341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134595 + ... + 195356.

It is an arithmetic number, because the mean of its divisors is an integer number (485029440).

Almost surely, 210024241331 is an apocalyptic number.

10024241331 is a deficient number, since it is larger than the sum of its proper divisors (5496700749).

10024241331 is a wasteful number, since it uses less digits than its factorization.

10024241331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330027.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10024241331 its reverse (13314242001), we get a palindrome (23338483332).

The spelling of 10024241331 in words is "ten billion, twenty-four million, two hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 13 19 39 41 57 123 247 533 741 779 1599 2337 10127 30381 329951 989853 4289363 6269069 12868089 13527991 18807207 40583973 81497897 175863883 244493691 257031829 527591649 771095487 3341413777 10024241331