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2003202101 is a prime number
BaseRepresentation
bin111011101100110…
…0111000000110101
312011121101012200102
41313121213000311
513100304431401
6530435323445
7100432636235
oct16731470065
95147335612
102003202101
1193883442a
1247aa50585
1325c0289b4
1415008dcc5
15bace656b
hex77667035

2003202101 has 2 divisors, whose sum is σ = 2003202102. Its totient is φ = 2003202100.

The previous prime is 2003202083. The next prime is 2003202107. The reversal of 2003202101 is 1012023002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1721835025 + 281367076 = 41495^2 + 16774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2003202101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003202107) 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 as a sum of consecutive naturals, namely, 1001601050 + 1001601051.

It is an arithmetic number, because the mean of its divisors is an integer number (1001601051).

Almost surely, 22003202101 is an apocalyptic number.

It is an amenable number.

2003202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003202101 is an equidigital number, since it uses as much as digits as its factorization.

2003202101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2003202101 is about 44757.1458093565. The cubic root of 2003202101 is about 1260.5930904411.

Adding to 2003202101 its reverse (1012023002), we get a palindrome (3015225103).

The spelling of 2003202101 in words is "two billion, three million, two hundred two thousand, one hundred one".