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103132303110 = 235542441277
BaseRepresentation
bin110000000001100101…
…0100000111100000110
3100212012110121211100000
41200003022200330012
53142203332144420
6115213415102130
710310500053354
oct1400312407406
9325173554300
10103132303110
113a813550861
1217ba2971946
139957737b35
144dc50667d4
152a39214690
hex18032a0f06

103132303110 has 48 divisors (see below), whose sum is σ = 278075253456. Its totient is φ = 27501946848.

The previous prime is 103132303063. The next prime is 103132303111. The reversal of 103132303110 is 11303231301.

It is a happy number.

103132303110 is a `hidden beast` number, since 1 + 0 + 31 + 323 + 0 + 311 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132303111) 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 23 ways as a sum of consecutive naturals, for example, 21218209 + ... + 21223068.

It is an arithmetic number, because the mean of its divisors is an integer number (5793234447).

Almost surely, 2103132303110 is an apocalyptic number.

103132303110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103132303110 is an abundant number, since it is smaller than the sum of its proper divisors (174942950346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103132303110 is an equidigital number, since it uses as much as digits as its factorization.

103132303110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42441299 (or 42441287 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103132303110 its reverse (11303231301), we get a palindrome (114435534411).

The spelling of 103132303110 in words is "one hundred three billion, one hundred thirty-two million, three hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 42441277 84882554 127323831 212206385 254647662 381971493 424412770 636619155 763942986 1145914479 1273238310 1909857465 2291828958 3437743437 3819714930 5729572395 6875486874 10313230311 11459144790 17188717185 20626460622 34377434370 51566151555 103132303110