Search a number
-
+
103122000003 = 31123315718537
BaseRepresentation
bin110000000001010001…
…1001101100010000011
3100212011202020101010110
41200002203031202003
53142143213000003
6115212410202403
710310313352221
oct1400243154203
9325152211113
10103122000003
113a8087539a0
1217b9b423403
13995556b319
144dc3943b11
152a3837ba03
hex18028cd883

103122000003 has 32 divisors (see below), whose sum is σ = 150752938752. Its totient is φ = 62183052800.

The previous prime is 103121999941. The next prime is 103122000019. The reversal of 103122000003 is 300000221301.

It is a happy number.

It is not a de Polignac number, because 103122000003 - 214 = 103121983619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103122000703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12075151 + ... + 12083687.

It is an arithmetic number, because the mean of its divisors is an integer number (4711029336).

Almost surely, 2103122000003 is an apocalyptic number.

103122000003 is a deficient number, since it is larger than the sum of its proper divisors (47630938749).

103122000003 is a wasteful number, since it uses less digits than its factorization.

103122000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10355.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 103122000003 its reverse (300000221301), we get a palindrome (403122221304).

The spelling of 103122000003 in words is "one hundred three billion, one hundred twenty-two million, three", and thus it is an aban number.

Divisors: 1 3 11 33 233 699 1571 2563 4713 7689 8537 17281 25611 51843 93907 281721 366043 1098129 1989121 4026473 5967363 12079419 13411627 21880331 40234881 65640993 147527897 442583691 3124909091 9374727273 34374000001 103122000003