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13001333023 = 73378531201
BaseRepresentation
bin11000001101111000…
…01001100100011111
31020120002022011000201
430012330021210133
5203111320124043
65550035404331
7640120336000
oct140674114437
936502264021
1013001333023
115571a05a28
12262a1536a7
1312c274a683
148b49d51a7
15511616c4d
hex306f0991f

13001333023 has 32 divisors (see below), whose sum is σ = 15602921600. Its totient is φ = 10821081600.

The previous prime is 13001332999. The next prime is 13001333039. The reversal of 13001333023 is 32033310031.

13001333023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13001333023 - 25 = 13001332991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001333923) 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 31 ways as a sum of consecutive naturals, for example, 10824823 + ... + 10826023.

It is an arithmetic number, because the mean of its divisors is an integer number (487591300).

Almost surely, 213001333023 is an apocalyptic number.

13001333023 is a deficient number, since it is larger than the sum of its proper divisors (2601588577).

13001333023 is an equidigital number, since it uses as much as digits as its factorization.

13001333023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 13001333023 its reverse (32033310031), we get a palindrome (45034643054).

The spelling of 13001333023 in words is "thirteen billion, one million, three hundred thirty-three thousand, twenty-three".

Divisors: 1 7 37 49 259 343 853 1201 1813 5971 8407 12691 31561 41797 44437 58849 220927 292579 311059 411943 1024453 1546489 2177413 7171171 10825423 15241891 37904761 50198197 265333327 351387379 1857333289 13001333023