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10271312205 = 3571123338167
BaseRepresentation
bin10011001000011011…
…11100100101001101
3222111211021201111120
421210031330211031
5132013423442310
64415113511153
7512350466430
oct114415744515
928454251446
1010271312205
1143a0984980
121ba7a124b9
13c78c8263b
146d61c9817
15401b01b70
hex26437c94d

10271312205 has 64 divisors (see below), whose sum is σ = 20577742848. Its totient is φ = 4250165760.

The previous prime is 10271312203. The next prime is 10271312209. The reversal of 10271312205 is 50221317201.

10271312205 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 10271312205 - 21 = 10271312203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10271312203) 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 63 ways as a sum of consecutive naturals, for example, 250032 + ... + 288198.

It is an arithmetic number, because the mean of its divisors is an integer number (321527232).

Almost surely, 210271312205 is an apocalyptic number.

10271312205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10271312205 is an abundant number, since it is smaller than the sum of its proper divisors (10306430643).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10271312205 is a wasteful number, since it uses less digits than its factorization.

10271312205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38426.

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 10271312205 its reverse (50221317201), we get a palindrome (60492629406).

The spelling of 10271312205 in words is "ten billion, two hundred seventy-one million, three hundred twelve thousand, two hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 233 385 699 1155 1165 1631 2563 3495 4893 7689 8155 12815 17941 24465 38167 38445 53823 89705 114501 190835 267169 269115 419837 572505 801507 1259511 1335845 2099185 2938859 4007535 6297555 8816577 8892911 14694295 26678733 44082885 44464555 62250377 97822021 133393665 186751131 293466063 311251885 489110105 684754147 933755655 1467330315 2054262441 3423770735 10271312205