Search a number
-
+
1023004141 is a prime number
BaseRepresentation
bin111100111110011…
…100110111101101
32122021221222212021
4330332130313231
54043342113031
6245302310141
734231251235
oct7476346755
92567858767
101023004141
11485506175
12246728351
13133c32ac3
1499c18cc5
155ec27511
hex3cf9cded

1023004141 has 2 divisors, whose sum is σ = 1023004142. Its totient is φ = 1023004140.

The previous prime is 1023004117. The next prime is 1023004159. The reversal of 1023004141 is 1414003201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1021058116 + 1946025 = 31954^2 + 1395^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023004141 - 25 = 1023004109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023004111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511502070 + 511502071.

It is an arithmetic number, because the mean of its divisors is an integer number (511502071).

Almost surely, 21023004141 is an apocalyptic number.

It is an amenable number.

1023004141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023004141 is an equidigital number, since it uses as much as digits as its factorization.

1023004141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1023004141 is about 31984.4359181149. The cubic root of 1023004141 is about 1007.6099881769.

Adding to 1023004141 its reverse (1414003201), we get a palindrome (2437007342).

The spelling of 1023004141 in words is "one billion, twenty-three million, four thousand, one hundred forty-one".