Search a number
-
+
100313201023069 is a prime number
BaseRepresentation
bin10110110011101111111100…
…101101101001100001011101
3111011011211220110022000022011
4112303233330231221201131
5101122012413430214234
6553203125351351221
730062250431000416
oct2663577455514135
9434154813260264
10100313201023069
1129a656538aa4a1
12b301454082511
1343c8656b9b3b8
141aab28328a80d
15b8e59ad8cb64
hex5b3bfcb6985d

100313201023069 has 2 divisors, whose sum is σ = 100313201023070. Its totient is φ = 100313201023068.

The previous prime is 100313201023031. The next prime is 100313201023127. The reversal of 100313201023069 is 960320102313001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75717929576025 + 24595271447044 = 8701605^2 + 4959362^2 .

It is a cyclic number.

It is not a de Polignac number, because 100313201023069 - 27 = 100313201022941 is a prime.

It is a super-2 number, since 2×1003132010230692 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100313201023069.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100313201021069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156600511534 + 50156600511535.

It is an arithmetic number, because the mean of its divisors is an integer number (50156600511535).

Almost surely, 2100313201023069 is an apocalyptic number.

It is an amenable number.

100313201023069 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313201023069 is an equidigital number, since it uses as much as digits as its factorization.

100313201023069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 100313201023069 in words is "one hundred trillion, three hundred thirteen billion, two hundred one million, twenty-three thousand, sixty-nine".