Search a number
-
+
1102321103129 is a prime number
BaseRepresentation
bin10000000010100111011…
…101010011000100011001
310220101021122122000122022
4100002213131103010121
5121030023200300004
62202222130504225
7142432354531031
oct20024735230431
93811248560568
101102321103129
11395545586144
12159779135075
137cc4392b98c
143b4d186a8c1
151da196402be
hex100a7753119

1102321103129 has 2 divisors, whose sum is σ = 1102321103130. Its totient is φ = 1102321103128.

The previous prime is 1102321103119. The next prime is 1102321103189. The reversal of 1102321103129 is 9213011232011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 637040229904 + 465280873225 = 798148^2 + 682115^2 .

It is an emirp because it is prime and its reverse (9213011232011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1102321103129 - 228 = 1102052667673 is a prime.

It is a super-3 number, since 3×11023211031293 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1102321103098 and 1102321103107.

It is not a weakly prime, because it can be changed into another prime (1102321103119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551160551564 + 551160551565.

It is an arithmetic number, because the mean of its divisors is an integer number (551160551565).

Almost surely, 21102321103129 is an apocalyptic number.

It is an amenable number.

1102321103129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102321103129 is an equidigital number, since it uses as much as digits as its factorization.

1102321103129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 1102321103129 in words is "one trillion, one hundred two billion, three hundred twenty-one million, one hundred three thousand, one hundred twenty-nine".