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203130120 = 23353375023
BaseRepresentation
bin11000001101110…
…00010100001000
3112011020002010210
430012320110020
5404000130440
632053441120
75014402044
oct1406702410
9464202123
10203130120
11a4730736
12580401a0
1333111c4b
141cd99024
1512c76a80
hexc1b8508

203130120 has 64 divisors (see below), whose sum is σ = 611320320. Its totient is φ = 53996544.

The previous prime is 203130107. The next prime is 203130139. The reversal of 203130120 is 21031302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 203130096 and 203130105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37929 + ... + 42951.

It is an arithmetic number, because the mean of its divisors is an integer number (9551880).

Almost surely, 2203130120 is an apocalyptic number.

203130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305660160).

203130120 is an abundant number, since it is smaller than the sum of its proper divisors (408190200).

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

203130120 is a wasteful number, since it uses less digits than its factorization.

203130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5370 counting only the distinct ones).

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

The square root of 203130120 is about 14252.3724340897. The cubic root of 203130120 is about 587.8386108973.

Adding to 203130120 its reverse (21031302), we get a palindrome (224161422).

The spelling of 203130120 in words is "two hundred three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 337 674 1011 1348 1685 2022 2696 3370 4044 5023 5055 6740 8088 10046 10110 13480 15069 20092 20220 25115 30138 40184 40440 50230 60276 75345 100460 120552 150690 200920 301380 602760 1692751 3385502 5078253 6771004 8463755 10156506 13542008 16927510 20313012 25391265 33855020 40626024 50782530 67710040 101565060 203130120