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10003301313023 = 291816536834273
BaseRepresentation
bin1001000110010001001100…
…1110001010100111111111
31022102022021021020022221002
42101210103032022213333
52302343230114004043
633135241515400515
72051500063135514
oct221442316124777
938368237208832
1010003301313023
113207415895397
12115685945313b
135773cc0aa395
1426823b76b30b
1512531eba4bb8
hex9191338a9ff

10003301313023 has 32 divisors (see below), whose sum is σ = 10439050789440. Its totient is φ = 9574007224320.

The previous prime is 10003301312981. The next prime is 10003301313041. The reversal of 10003301313023 is 32031310330001.

It is a cyclic number.

It is not a de Polignac number, because 10003301313023 - 212 = 10003301308927 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10003301312986 and 10003301313004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003301316023) 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 31 ways as a sum of consecutive naturals, for example, 2341046615 + ... + 2341050887.

It is an arithmetic number, because the mean of its divisors is an integer number (326220337170).

Almost surely, 210003301313023 is an apocalyptic number.

10003301313023 is a deficient number, since it is larger than the sum of its proper divisors (435749476417).

10003301313023 is a wasteful number, since it uses less digits than its factorization.

10003301313023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 10003301313023 its reverse (32031310330001), we get a palindrome (42034611643024).

The spelling of 10003301313023 in words is "ten trillion, three billion, three hundred one million, three hundred thirteen thousand, twenty-three".

Divisors: 1 29 181 653 683 4273 5249 18937 19807 118193 123623 123917 445999 773413 2790269 2918459 3427597 3585067 12933971 22428977 80725819 80917801 84635311 505038689 528241079 1905753727 2341048751 14646121981 15318991291 55266858083 344941424587 10003301313023