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203104350241 = 132346672
BaseRepresentation
bin1011110100100111110…
…1100111000000100001
3201102020200200000110021
42331021331213000201
511311424203201431
6233145503033441
720450054330542
oct2751175470041
9642220600407
10203104350241
1179155124511
123344329b881
13161ca50b300
149b8a4cc4c9
15543ac7bb11
hex2f49f67021

203104350241 has 9 divisors (see below), whose sum is σ = 219935906931. Its totient is φ = 187475530632.

The previous prime is 203104350233. The next prime is 203104350259. The reversal of 203104350241 is 142053401302.

The square root of 203104350241 is 450671.

It is a perfect power (a square), and thus also a powerful number.

203104350241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30045022225 + 173059328016 = 173335^2 + 416004^2 .

It is not a de Polignac number, because 203104350241 - 23 = 203104350233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (203104350041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5841390 + ... + 5876056.

Almost surely, 2203104350241 is an apocalyptic number.

203104350241 is the 450671-st square number.

203104350241 is the 225336-th centered octagonal number.

It is an amenable number.

203104350241 is a deficient number, since it is larger than the sum of its proper divisors (16831556690).

203104350241 is an frugal number, since it uses more digits than its factorization.

203104350241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69360 (or 34680 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Multiplying 203104350241 by its sum of digits (25), we get a square (5077608756025 = 22533552).

Adding to 203104350241 its reverse (142053401302), we get a palindrome (345157751543).

The spelling of 203104350241 in words is "two hundred three billion, one hundred four million, three hundred fifty thousand, two hundred forty-one".

Divisors: 1 13 169 34667 450671 5858723 1201800889 15623411557 203104350241