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10271271410 = 253727760193
BaseRepresentation
bin10011001000011011…
…10010100111110010
3222111211012122112122
421210031302213302
5132013421141120
64415112554242
7512350236461
oct114415624762
928454178478
1010271271410
1143a0957264
121ba79b2982
13c78c69bba
146d61b89d8
15401ae4a25
hex2643729f2

10271271410 has 16 divisors (see below), whose sum is σ = 18987972696. Its totient is φ = 3997467648.

The previous prime is 10271271407. The next prime is 10271271419. The reversal of 10271271410 is 1417217201.

10271271410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9531812161 + 739459249 = 97631^2 + 27193^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10271271410.

It is not an unprimeable number, because it can be changed into a prime (10271271419) 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 7 ways as a sum of consecutive naturals, for example, 13879727 + ... + 13880466.

Almost surely, 210271271410 is an apocalyptic number.

10271271410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10271271410 is a deficient number, since it is larger than the sum of its proper divisors (8716701286).

10271271410 is a wasteful number, since it uses less digits than its factorization.

10271271410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27760237.

The product of its (nonzero) digits is 784, while the sum is 26.

Adding to 10271271410 its reverse (1417217201), we get a palindrome (11688488611).

The spelling of 10271271410 in words is "ten billion, two hundred seventy-one million, two hundred seventy-one thousand, four hundred ten".

Divisors: 1 2 5 10 37 74 185 370 27760193 55520386 138800965 277601930 1027127141 2054254282 5135635705 10271271410