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10068316281 = 34111492
BaseRepresentation
bin10010110000001111…
…00101000001111001
3221222200022110110000
421120013211001321
5131104442110111
64343022543213
7504334163532
oct113007450171
927880273400
1010068316281
1142a7336051
121b4ba37b09
13c45bb97ca
146b7267689
153ddda4c56
hex2581e5079

10068316281 has 15 divisors (see below), whose sum is σ = 15041673471. Its totient is φ = 6711608808.

The previous prime is 10068316253. The next prime is 10068316301. The reversal of 10068316281 is 18261386001.

The square root of 10068316281 is 100341.

It is a perfect power (a square), and thus also a powerful number.

10068316281 is a `hidden beast` number, since 1 + 0 + 0 + 68 + 316 + 281 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3062626281 + 7005690000 = 55341^2 + 83700^2 .

It is not a de Polignac number, because 10068316281 - 211 = 10068314233 is a prime.

It is a super-2 number, since 2×100683162812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10068316381) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 897495 + ... + 908643.

Almost surely, 210068316281 is an apocalyptic number.

10068316281 is the 100341-st square number.

10068316281 is the 50171-st centered octagonal number.

It is an amenable number.

10068316281 is a deficient number, since it is larger than the sum of its proper divisors (4973357190).

10068316281 is an frugal number, since it uses more digits than its factorization.

10068316281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22310 (or 11152 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 10068316281 by its sum of digits (36), we get a square (362459386116 = 6020462).

It can be divided in two parts, 100683 and 16281, that added together give a square (116964 = 3422).

The spelling of 10068316281 in words is "ten billion, sixty-eight million, three hundred sixteen thousand, two hundred eighty-one".

Divisors: 1 3 9 27 81 11149 33447 100341 301023 903069 124300201 372900603 1118701809 3356105427 10068316281