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10203100011 = 3313246711783
BaseRepresentation
bin10011000000010011…
…01111001101101011
3222100001221011222000
421200021233031223
5131343443200021
64404235502043
7510561630156
oct114011571553
928301834860
1010203100011
114366425065
121b88bb7923
13c67abb7b0
146cb110c9d
153eab2ab26
hex26026f36b

10203100011 has 32 divisors (see below), whose sum is σ = 16286430720. Its totient is φ = 6275752992.

The previous prime is 10203100009. The next prime is 10203100021. The reversal of 10203100011 is 11000130201.

10203100011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10203100011 - 21 = 10203100009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10203099966 and 10203100002.

It is not an unprimeable number, because it can be changed into a prime (10203100021) 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 31 ways as a sum of consecutive naturals, for example, 860026 + ... + 871808.

It is an arithmetic number, because the mean of its divisors is an integer number (508950960).

Almost surely, 210203100011 is an apocalyptic number.

10203100011 is a deficient number, since it is larger than the sum of its proper divisors (6083330709).

10203100011 is a wasteful number, since it uses less digits than its factorization.

10203100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14272 (or 14266 counting only the distinct ones).

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

Adding to 10203100011 its reverse (11000130201), we get a palindrome (21203230212).

The spelling of 10203100011 in words is "ten billion, two hundred three million, one hundred thousand, eleven".

Divisors: 1 3 9 13 27 39 117 351 2467 7401 11783 22203 32071 35349 66609 96213 106047 153179 288639 318141 459537 865917 1378611 4135833 29068661 87205983 261617949 377892593 784853847 1133677779 3401033337 10203100011