Search a number
-
+
1023132031 is a prime number
BaseRepresentation
bin111100111110111…
…100000101111111
32122022012111021221
4330332330011333
54043410211111
6245305134211
734232323135
oct7476740577
92568174257
101023132031
11485593269
1224678a367
13133c7908c
1499c4d755
155ec50371
hex3cfbc17f

1023132031 has 2 divisors, whose sum is σ = 1023132032. Its totient is φ = 1023132030.

The previous prime is 1023132017. The next prime is 1023132043. The reversal of 1023132031 is 1302313201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1023132031 - 215 = 1023099263 is a prime.

It is a super-2 number, since 2×10231320312 = 2093598305716369922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023131996 and 1023132014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023132631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511566015 + 511566016.

It is an arithmetic number, because the mean of its divisors is an integer number (511566016).

Almost surely, 21023132031 is an apocalyptic number.

1023132031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023132031 is an equidigital number, since it uses as much as digits as its factorization.

1023132031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1023132031 is about 31986.4351092772. The cubic root of 1023132031 is about 1007.6519749317.

Adding to 1023132031 its reverse (1302313201), we get a palindrome (2325445232).

The spelling of 1023132031 in words is "one billion, twenty-three million, one hundred thirty-two thousand, thirty-one".