Search a number
-
+
12300103000031 = 711265960075817
BaseRepresentation
bin1011001011111101011101…
…0001010001111111011111
31121112212201022211002000112
42302333113101101333133
53103011102332000111
642054331142520235
72406440006303450
oct262772721217737
947485638732015
1012300103000031
113a124985315a0
121467a1373607b
136b2b82972652
14307484693127
15164e49677e8b
hexb2fd7451fdf

12300103000031 has 16 divisors (see below), whose sum is σ = 15340960884480. Its totient is φ = 9580891135680.

The previous prime is 12300103000027. The next prime is 12300103000063. The reversal of 12300103000031 is 13000030100321.

It is a cyclic number.

It is not a de Polignac number, because 12300103000031 - 22 = 12300103000027 is a prime.

It is a super-2 number, since 2×123001030000312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300103000001) 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 in 15 ways as a sum of consecutive naturals, for example, 29833166 + ... + 30242651.

It is an arithmetic number, because the mean of its divisors is an integer number (958810055280).

Almost surely, 212300103000031 is an apocalyptic number.

12300103000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12300103000031 is a deficient number, since it is larger than the sum of its proper divisors (3040857884449).

12300103000031 is a wasteful number, since it uses less digits than its factorization.

12300103000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60078494.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 12300103000031 its reverse (13000030100321), we get a palindrome (25300133100352).

The spelling of 12300103000031 in words is "twelve trillion, three hundred billion, one hundred three million, thirty-one", and thus it is an aban number.

Divisors: 1 7 11 77 2659 18613 29249 204743 60075817 420530719 660833987 4625837909 159741597403 1118191181821 1757157571433 12300103000031