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203002120 = 23529317321
BaseRepresentation
bin11000001100110…
…01000100001000
3112010222120120001
430012121010020
5403432031440
632051012344
75013326626
oct1406310410
9463876501
10203002120
11a4653552
1257b9a0b4
13330988c9
141cd64516
1512c4db9a
hexc199108

203002120 has 32 divisors (see below), whose sum is σ = 458340120. Its totient is φ = 80919040.

The previous prime is 203002081. The next prime is 203002153. The reversal of 203002120 is 21200302.

203002120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 184905604 + 18096516 = 13598^2 + 4254^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 203002097 and 203002106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3060 + ... + 20380.

Almost surely, 2203002120 is an apocalyptic number.

203002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203002120 is an abundant number, since it is smaller than the sum of its proper divisors (255338000).

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

203002120 is a wasteful number, since it uses less digits than its factorization.

203002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17625 (or 17621 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 203002120 is about 14247.8812459958. The cubic root of 203002120 is about 587.7151118117.

Adding to 203002120 its reverse (21200302), we get a palindrome (224202422).

The spelling of 203002120 in words is "two hundred three million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 293 586 1172 1465 2344 2930 5860 11720 17321 34642 69284 86605 138568 173210 346420 692840 5075053 10150106 20300212 25375265 40600424 50750530 101501060 203002120