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103005123 = 3138213217
BaseRepresentation
bin1100010001110…
…11101111000011
321011211012110120
412020323233003
5202332130443
614115431323
72360346324
oct610735703
9234735416
10103005123
1153164301
122a5b5543
13184565a0
14d97444b
15909a083
hex623bbc3

103005123 has 16 divisors (see below), whose sum is σ = 148130976. Its totient is φ = 63290880.

The previous prime is 103005113. The next prime is 103005139. The reversal of 103005123 is 321500301.

It is a happy number.

It is not a de Polignac number, because 103005123 - 24 = 103005107 is a prime.

It is a super-2 number, since 2×1030051232 = 21220110728490258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103005113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30411 + ... + 33627.

It is an arithmetic number, because the mean of its divisors is an integer number (9258186).

Almost surely, 2103005123 is an apocalyptic number.

103005123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

103005123 is a deficient number, since it is larger than the sum of its proper divisors (45125853).

103005123 is a wasteful number, since it uses less digits than its factorization.

103005123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 103005123 is about 10149.1439540485. The cubic root of 103005123 is about 468.7625862576.

Adding to 103005123 its reverse (321500301), we get a palindrome (424505424).

The spelling of 103005123 in words is "one hundred three million, five thousand, one hundred twenty-three".

Divisors: 1 3 13 39 821 2463 3217 9651 10673 32019 41821 125463 2641157 7923471 34335041 103005123