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203133420 = 2235572853
BaseRepresentation
bin11000001101110…
…01000111101100
3112011020020200000
430012321013230
5404000232140
632053504300
75014414500
oct1406710754
9464206600
10203133420
11a4733166
1258042090
13331135b9
141cd9a300
1512c77a30
hexc1b91ec

203133420 has 216 divisors, whose sum is σ = 744189264. Its totient is φ = 46376064.

The previous prime is 203133409. The next prime is 203133431. The reversal of 203133420 is 24331302.

203133420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203133409) and next prime (203133431).

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

It is a junction number, because it is equal to n+sod(n) for n = 203133393 and 203133402.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 237714 + ... + 238566.

Almost surely, 2203133420 is an apocalyptic number.

203133420 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 203133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372094632).

203133420 is an abundant number, since it is smaller than the sum of its proper divisors (541055844).

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

203133420 is a wasteful number, since it uses less digits than its factorization.

203133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 203133420 is about 14252.4882038190. The cubic root of 203133420 is about 587.8417941720.

Adding to 203133420 its reverse (24331302), we get a palindrome (227464722).

The spelling of 203133420 in words is "two hundred three million, one hundred thirty-three thousand, four hundred twenty".