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1023100093 is a prime number
BaseRepresentation
bin111100111110110…
…100010010111101
32122022010212111001
4330332310102331
54043403200333
6245304330301
734232131051
oct7476642275
92568125431
101023100093
11485571274
12246773991
13133c67692
1499c41c61
155ec45b7d
hex3cfb44bd

1023100093 has 2 divisors, whose sum is σ = 1023100094. Its totient is φ = 1023100092.

The previous prime is 1023100063. The next prime is 1023100129. The reversal of 1023100093 is 3900013201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 876278404 + 146821689 = 29602^2 + 12117^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023100093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1023100093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023100063) 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, 511550046 + 511550047.

It is an arithmetic number, because the mean of its divisors is an integer number (511550047).

Almost surely, 21023100093 is an apocalyptic number.

It is an amenable number.

1023100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023100093 is an equidigital number, since it uses as much as digits as its factorization.

1023100093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 1023100093 is about 31985.9358625006. The cubic root of 1023100093 is about 1007.6414898973.

Adding to 1023100093 its reverse (3900013201), we get a palindrome (4923113294).

The spelling of 1023100093 in words is "one billion, twenty-three million, one hundred thousand, ninety-three".