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10241004332024 = 2341472023332833
BaseRepresentation
bin1001010100000110101101…
…1011001110001111111000
31100021000211012101211100122
42111001223123032033320
52320242034102111044
633440352532152412
72104613430354644
oct225015333161770
940230735354318
1010241004332024
113299204a65824
121194937768708
13593951622b4b
1427594ad35c24
1512b5d3138dee
hex9506b6ce3f8

10241004332024 has 64 divisors (see below), whose sum is σ = 20090341837440. Its totient is φ = 4888931696640.

The previous prime is 10241004332021. The next prime is 10241004332033. The reversal of 10241004332024 is 42023340014201.

It is a junction number, because it is equal to n+sod(n) for n = 10241004331984 and 10241004332002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241004332021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311895512 + ... + 311928344.

It is an arithmetic number, because the mean of its divisors is an integer number (313911591210).

Almost surely, 210241004332024 is an apocalyptic number.

It is an amenable number.

10241004332024 is a deficient number, since it is larger than the sum of its proper divisors (9849337505416).

10241004332024 is a wasteful number, since it uses less digits than its factorization.

10241004332024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53160 (or 53156 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10241004332024 its reverse (42023340014201), we get a palindrome (52264344346225).

The spelling of 10241004332024 in words is "ten trillion, two hundred forty-one billion, four million, three hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 8 41 47 82 94 164 188 328 376 1927 3854 7708 15416 20233 32833 40466 65666 80932 131332 161864 262664 829553 950951 1346153 1543151 1659106 1901902 2692306 3086302 3318212 3803804 5384612 6172604 6636424 7607608 10769224 12345208 38988991 63269191 77977982 126538382 155955964 253076764 311911928 506153528 664310089 1328620178 2657240356 5314480712 27236713649 31222574183 54473427298 62445148366 108946854596 124890296732 217893709192 249780593464 1280125541503 2560251083006 5120502166012 10241004332024