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1012203302201 = 72131589016173
BaseRepresentation
bin11101011101011000000…
…01001010110100111001
310120202200012002102000122
432232230001022310321
5113040443021132301
62052555541343025
7133062225052400
oct16565401126471
93522605072018
101012203302201
11360300415513
12144208a07a75
13745b15a2710
1436dc3066637
151b4e2c9481b
hexebac04ad39

1012203302201 has 12 divisors (see below), whose sum is σ = 1268034906852. Its totient is φ = 800864150688.

The previous prime is 1012203302183. The next prime is 1012203302219. The reversal of 1012203302201 is 1022033022101.

1012203302201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1012203302183) and next prime (1012203302219).

It can be written as a sum of positive squares in 2 ways, for example, as 446284122025 + 565919180176 = 668045^2 + 752276^2 .

It is a de Polignac number, because none of the positive numbers 2k-1012203302201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1012203302201.

It is not an unprimeable number, because it can be changed into a prime (1012203302251) 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, 794507450 + ... + 794508723.

It is an arithmetic number, because the mean of its divisors is an integer number (105669575571).

Almost surely, 21012203302201 is an apocalyptic number.

It is an amenable number.

1012203302201 is a deficient number, since it is larger than the sum of its proper divisors (255831604651).

1012203302201 is a wasteful number, since it uses less digits than its factorization.

1012203302201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589016200 (or 1589016193 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1012203302201 its reverse (1022033022101), we get a palindrome (2034236324302).

The spelling of 1012203302201 in words is "one trillion, twelve billion, two hundred three million, three hundred two thousand, two hundred one".

Divisors: 1 7 13 49 91 637 1589016173 11123113211 20657210249 77861792477 144600471743 1012203302201