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105203245203 = 337857649511
BaseRepresentation
bin110000111111010011…
…0100010000010010011
3101001112210110120211000
41201332212202002103
53210424012321303
6120155114353043
710413014554410
oct1417646420223
9331483416730
10105203245203
1140686542251
121848042b783
139bc77c0764
14514010b107
152b0ae3bda3
hex187e9a2093

105203245203 has 32 divisors (see below), whose sum is σ = 178330014720. Its totient is φ = 60045900480.

The previous prime is 105203245153. The next prime is 105203245229. The reversal of 105203245203 is 302542302501.

It is a happy number.

105203245203 is a `hidden beast` number, since 1 + 0 + 5 + 203 + 2 + 452 + 0 + 3 = 666.

It is not a de Polignac number, because 105203245203 - 228 = 104934809747 is a prime.

It is a super-2 number, since 2×1052032452032 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105203245253) 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, 162783 + ... + 486728.

It is an arithmetic number, because the mean of its divisors is an integer number (5572812960).

Almost surely, 2105203245203 is an apocalyptic number.

105203245203 is a deficient number, since it is larger than the sum of its proper divisors (73126769517).

105203245203 is an equidigital number, since it uses as much as digits as its factorization.

105203245203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650384 (or 650378 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 105203245203 its reverse (302542302501), we get a palindrome (407745547704).

The spelling of 105203245203 in words is "one hundred five billion, two hundred three million, two hundred forty-five thousand, two hundred three".

Divisors: 1 3 7 9 21 27 63 189 857 2571 5999 7713 17997 23139 53991 161973 649511 1948533 4546577 5845599 13639731 17536797 40919193 122757579 556630927 1669892781 3896416489 5009678343 11689249467 15029035029 35067748401 105203245203