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1023013007 is a prime number
BaseRepresentation
bin111100111110011…
…111000010001111
32122021222110000122
4330332133002033
54043342404012
6245302415155
734231316132
oct7476370217
92567873018
101023013007
114855118a5
122467314bb
13133c36b53
1499c1c219
155ec29e72
hex3cf9f08f

1023013007 has 2 divisors, whose sum is σ = 1023013008. Its totient is φ = 1023013006.

The previous prime is 1023013003. The next prime is 1023013073. The reversal of 1023013007 is 7003103201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1023013007 - 22 = 1023013003 is a prime.

It is a super-2 number, since 2×10230130072 = 2093111224982364098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023013003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511506503 + 511506504.

It is an arithmetic number, because the mean of its divisors is an integer number (511506504).

Almost surely, 21023013007 is an apocalyptic number.

1023013007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023013007 is an equidigital number, since it uses as much as digits as its factorization.

1023013007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 1023013007 is about 31984.5745164759. The cubic root of 1023013007 is about 1007.6128990300.

Adding to 1023013007 its reverse (7003103201), we get a palindrome (8026116208).

The spelling of 1023013007 in words is "one billion, twenty-three million, thirteen thousand, seven".