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1023300101 is a prime number
BaseRepresentation
bin111100111111100…
…101001000000101
32122022112000211202
4330333211020011
54043431100401
6245312512245
734233623135
oct7477451005
92568460752
101023300101
1148569856a
1224684b685
13134007725
1499c94ac5
155ec8506b
hex3cfe5205

1023300101 has 2 divisors, whose sum is σ = 1023300102. Its totient is φ = 1023300100.

The previous prime is 1023300079. The next prime is 1023300127. The reversal of 1023300101 is 1010033201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 847101025 + 176199076 = 29105^2 + 13274^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023300101 - 210 = 1023299077 is a prime.

It is a super-2 number, since 2×10233001012 = 2094286193413220402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023300401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511650050 + 511650051.

It is an arithmetic number, because the mean of its divisors is an integer number (511650051).

Almost surely, 21023300101 is an apocalyptic number.

It is an amenable number.

1023300101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023300101 is an equidigital number, since it uses as much as digits as its factorization.

1023300101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1023300101 is about 31989.0622088238. The cubic root of 1023300101 is about 1007.7071476073.

Adding to 1023300101 its reverse (1010033201), we get a palindrome (2033333302).

The spelling of 1023300101 in words is "one billion, twenty-three million, three hundred thousand, one hundred one".