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1012303112013 = 32181621426097
BaseRepresentation
bin11101011101100011111…
…01111010011101001101
310120202221010220021100100
432232301331322131031
5113041144044041023
62053013504521313
7133064546323164
oct16566175723515
93522833807310
101012303112013
11360351797066
12144236320239
13745c917a78b
1436dd24083db
151b4eb90cc43
hexebb1f7a74d

1012303112013 has 12 divisors (see below), whose sum is σ = 1470294147868. Its totient is φ = 671140183680.

The previous prime is 1012303111973. The next prime is 1012303112017. The reversal of 1012303112013 is 3102113032101.

1012303112013 is a `hidden beast` number, since 101 + 230 + 311 + 20 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 160914904164 + 851388207849 = 401142^2 + 922707^2 .

It is not a de Polignac number, because 1012303112013 - 221 = 1012301014861 is a prime.

It is a super-3 number, since 3×10123031120133 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012303112017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310711420 + ... + 310714677.

Almost surely, 21012303112013 is an apocalyptic number.

It is an amenable number.

1012303112013 is a deficient number, since it is larger than the sum of its proper divisors (457991035855).

1012303112013 is a wasteful number, since it uses less digits than its factorization.

1012303112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621426284 (or 621426281 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1012303112013 its reverse (3102113032101), we get a palindrome (4114416144114).

The spelling of 1012303112013 in words is "one trillion, twelve billion, three hundred three million, one hundred twelve thousand, thirteen".

Divisors: 1 3 9 181 543 1629 621426097 1864278291 5592834873 112478123557 337434370671 1012303112013