Search a number
-
+
123100103 = 7214091783
BaseRepresentation
bin1110101011001…
…01101111000111
322120122010121002
413111211233013
5223003200403
620114243515
73023222300
oct725455707
9276563532
10123100103
1163539a25
123528659b
131c670cc9
14124c57a7
15ac19188
hex7565bc7

123100103 has 12 divisors (see below), whose sum is σ = 143380080. Its totient is φ = 105380352.

The previous prime is 123100093. The next prime is 123100127. The reversal of 123100103 is 301001321.

It is not a de Polignac number, because 123100103 - 210 = 123099079 is a prime.

It is a super-2 number, since 2×1231001032 = 30307270717221218, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123100303) 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 in 11 ways as a sum of consecutive naturals, for example, 68150 + ... + 69932.

It is an arithmetic number, because the mean of its divisors is an integer number (11948340).

Almost surely, 2123100103 is an apocalyptic number.

123100103 is a deficient number, since it is larger than the sum of its proper divisors (20279977).

123100103 is a wasteful number, since it uses less digits than its factorization.

123100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 123100103 is about 11095.0485803353. The cubic root of 123100103 is about 497.4538603541.

Adding to 123100103 its reverse (301001321), we get a palindrome (424101424).

The spelling of 123100103 in words is "one hundred twenty-three million, one hundred thousand, one hundred three".

Divisors: 1 7 49 1409 1783 9863 12481 69041 87367 2512247 17585729 123100103