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10271412340 = 2257210481033
BaseRepresentation
bin10011001000011100…
…10101000001110100
3222111211110210212021
421210032111001310
5132013440143330
64415120002524
7512351364400
oct114416250164
928454423767
1010271412340
1143a0a43132
121ba7a60444
13c78cb90a7
146d6214100
15401b2167a
hex264395074

10271412340 has 36 divisors (see below), whose sum is σ = 25091595396. Its totient is φ = 3521626752.

The previous prime is 10271412337. The next prime is 10271412379. The reversal of 10271412340 is 4321417201.

It can be written as a sum of positive squares in 2 ways, for example, as 5255090064 + 5016322276 = 72492^2 + 70826^2 .

It is a super-2 number, since 2×102714123402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5239537 + ... + 5241496.

It is an arithmetic number, because the mean of its divisors is an integer number (696988761).

Almost surely, 210271412340 is an apocalyptic number.

10271412340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10271412340 is an abundant number, since it is smaller than the sum of its proper divisors (14820183056).

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

10271412340 is a wasteful number, since it uses less digits than its factorization.

10271412340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10481056 (or 10481047 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 10271412340 its reverse (4321417201), we get a palindrome (14592829541).

The spelling of 10271412340 in words is "ten billion, two hundred seventy-one million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 10481033 20962066 41924132 52405165 73367231 104810330 146734462 209620660 293468924 366836155 513570617 733672310 1027141234 1467344620 2054282468 2567853085 5135706170 10271412340