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1012310000001 = 3427409455969
BaseRepresentation
bin11101011101100100110…
…00001100000110000001
310120202221121212012220000
432232302120030012001
5113041202330000001
62053014312310213
7133064662011606
oct16566230140601
93522847765800
101012310000001
11360355671113
121442386a2369
13745ca71ca01
1436dd32bc6ad
151b4ec31da86
hexebb260c181

1012310000001 has 20 divisors (see below), whose sum is σ = 1512274661700. Its totient is φ = 674847230976.

The previous prime is 1012309999997. The next prime is 1012310000011. The reversal of 1012310000001 is 1000000132101.

It can be written as a sum of positive squares in 2 ways, for example, as 51519920400 + 960790079601 = 226980^2 + 980199^2 .

It is not a de Polignac number, because 1012310000001 - 22 = 1012309999997 is a prime.

It is a super-2 number, since 2×10123100000012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1012310000011) 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 19 ways as a sum of consecutive naturals, for example, 1992145 + ... + 2448113.

It is an arithmetic number, because the mean of its divisors is an integer number (75613733085).

Almost surely, 21012310000001 is an apocalyptic number.

It is an amenable number.

1012310000001 is a deficient number, since it is larger than the sum of its proper divisors (499964661699).

1012310000001 is an equidigital number, since it uses as much as digits as its factorization.

1012310000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483390 (or 483381 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1012310000001 its reverse (1000000132101), we get a palindrome (2012310132102).

The spelling of 1012310000001 in words is "one trillion, twelve billion, three hundred ten million, one", and thus it is an aban number.

Divisors: 1 3 9 27 81 27409 82227 246681 455969 740043 1367907 2220129 4103721 12311163 36933489 12497654321 37492962963 112478888889 337436666667 1012310000001