Search a number
-
+
103143635747 = 1737971690519
BaseRepresentation
bin110000000001111010…
…1101111101100100011
3100212020020221120210022
41200003311233230203
53142214232320442
6115214502024055
710310665303205
oct1400365575443
9325206846708
10103143635747
113a819991179
1217ba671802b
139959ba5139
144dc6776775
152a3a2023d2
hex1803d6fb23

103143635747 has 16 divisors (see below), whose sum is σ = 113318936640. Its totient is φ = 93478883328.

The previous prime is 103143635711. The next prime is 103143635759. The reversal of 103143635747 is 747536341301.

It is a cyclic number.

It is not a de Polignac number, because 103143635747 - 210 = 103143634723 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103143635698 and 103143635707.

It is not an unprimeable number, because it can be changed into a prime (103143635047) 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 in 15 ways as a sum of consecutive naturals, for example, 784247 + ... + 906272.

It is an arithmetic number, because the mean of its divisors is an integer number (7082433540).

Almost surely, 2103143635747 is an apocalyptic number.

103143635747 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

103143635747 is a deficient number, since it is larger than the sum of its proper divisors (10175300893).

103143635747 is a wasteful number, since it uses less digits than its factorization.

103143635747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690670.

The product of its (nonzero) digits is 635040, while the sum is 44.

The spelling of 103143635747 in words is "one hundred three billion, one hundred forty-three million, six hundred thirty-five thousand, seven hundred forty-seven".

Divisors: 1 17 37 97 629 1649 3589 61013 1690519 28738823 62549203 163980343 1063336451 2787665831 6067272691 103143635747