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203412120 = 233513712373
BaseRepresentation
bin11000001111111…
…01001010011000
3112011202101222020
430013331022120
5404033141440
632103454440
75016655152
oct1407751230
9464671866
10203412120
11a490359a
1258157420
13331b0402
141d02dad2
1512cd03d0
hexc1fd298

203412120 has 64 divisors (see below), whose sum is σ = 614740320. Its totient is φ = 53842944.

The previous prime is 203412113. The next prime is 203412133. The reversal of 203412120 is 21214302.

203412120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 203412120.

It is a congruent number.

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, 10254 + ... + 22626.

Almost surely, 2203412120 is an apocalyptic number.

203412120 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 203412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307370160).

203412120 is an abundant number, since it is smaller than the sum of its proper divisors (411328200).

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

203412120 is a wasteful number, since it uses less digits than its factorization.

203412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12524 (or 12520 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 203412120 is about 14262.2620926696. The cubic root of 203412120 is about 588.1105118769.

Adding to 203412120 its reverse (21214302), we get a palindrome (224626422).

The spelling of 203412120 in words is "two hundred three million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 12373 16440 24746 37119 49492 61865 74238 98984 123730 148476 185595 247460 296952 371190 494920 742380 1484760 1695101 3390202 5085303 6780404 8475505 10170606 13560808 16951010 20341212 25426515 33902020 40682424 50853030 67804040 101706060 203412120