Search a number
-
+
1023021101 is a prime number
BaseRepresentation
bin111100111110100…
…001000000101101
32122021222212010102
4330332201000231
54043343133401
6245302520445
734231351544
oct7476410055
92567885112
101023021101
11485517993
12246736125
13133c3a73b
1499c2115b
155ec2c56b
hex3cfa102d

1023021101 has 2 divisors, whose sum is σ = 1023021102. Its totient is φ = 1023021100.

The previous prime is 1023020993. The next prime is 1023021113. The reversal of 1023021101 is 1011203201.

1023021101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 965655625 + 57365476 = 31075^2 + 7574^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023021101 - 210 = 1023020077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023021151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511510550 + 511510551.

It is an arithmetic number, because the mean of its divisors is an integer number (511510551).

Almost surely, 21023021101 is an apocalyptic number.

It is an amenable number.

1023021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023021101 is an equidigital number, since it uses as much as digits as its factorization.

1023021101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1023021101 is about 31984.7010459688. The cubic root of 1023021101 is about 1007.6155564082.

Adding to 1023021101 its reverse (1011203201), we get a palindrome (2034224302).

It can be divided in two parts, 102 and 3021101, that added together give a palindrome (3021203).

The spelling of 1023021101 in words is "one billion, twenty-three million, twenty-one thousand, one hundred one".