Search a number
-
+
1012032302101 is a prime number
BaseRepresentation
bin11101011101000011101…
…00110110110000010101
310120202020021022200222121
432232201310312300111
5113040120232131401
62052530552255541
7133055050430002
oct16564164666025
93522207280877
101012032302101
1136022293a617
1214417b6a15b1
1374585030122
1436da84728a9
151b4d2c67ca1
hexeba1d36c15

1012032302101 has 2 divisors, whose sum is σ = 1012032302102. Its totient is φ = 1012032302100.

The previous prime is 1012032302063. The next prime is 1012032302129.

1012032302101 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1011341979025 + 690323076 = 1005655^2 + 26274^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1012032302101 - 233 = 1003442367509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012035302101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506016151050 + 506016151051.

It is an arithmetic number, because the mean of its divisors is an integer number (506016151051).

Almost surely, 21012032302101 is an apocalyptic number.

It is an amenable number.

1012032302101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012032302101 is an equidigital number, since it uses as much as digits as its factorization.

1012032302101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 1012032302101 in words is "one trillion, twelve billion, thirty-two million, three hundred two thousand, one hundred one".