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103132003201123 = 13143926172106617
BaseRepresentation
bin10111011100110001001010…
…011010100111000001100011
3111112011022201121220012200211
4113130301022122213001203
5102004203320304413443
61003202104352554551
730503020116120241
oct2734611232470143
9445138647805624
10103132003201123
112a9520451856a6
12b69780b252a57
1345713c9875a80
141b67889263791
15bdca77b6d19d
hex5dcc4a6a7063

103132003201123 has 16 divisors (see below), whose sum is σ = 111184938627840. Its totient is φ = 95096219060736.

The previous prime is 103132003201043. The next prime is 103132003201231. The reversal of 103132003201123 is 321102300231301.

It is a cyclic number.

It is not a de Polignac number, because 103132003201123 - 217 = 103132003070051 is a prime.

It is a super-2 number, since 2×1031320032011232 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103132003201094 and 103132003201103.

It is not an unprimeable number, because it can be changed into a prime (103132003204123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47902911 + ... + 50009527.

It is an arithmetic number, because the mean of its divisors is an integer number (6949058664240).

Almost surely, 2103132003201123 is an apocalyptic number.

103132003201123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

103132003201123 is a deficient number, since it is larger than the sum of its proper divisors (8052935426717).

103132003201123 is a wasteful number, since it uses less digits than its factorization.

103132003201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110686.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 103132003201123 its reverse (321102300231301), we get a palindrome (424234303432424).

The spelling of 103132003201123 in words is "one hundred three trillion, one hundred thirty-two billion, three million, two hundred one thousand, one hundred twenty-three".

Divisors: 1 13 1439 2617 18707 34021 2106617 3765863 27386021 48956219 3031421863 5513016689 39408484219 71669216957 7933231015471 103132003201123