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203311020 = 2235111931523
BaseRepresentation
bin11000001111001…
…00011110101100
3112011120021021210
430013210132230
5404021423040
632101354420
75016054333
oct1407443654
9464507253
10203311020
11a4844640
1258108a10
13331763a3
141d004d1a
1512cb0480
hexc1e47ac

203311020 has 192 divisors, whose sum is σ = 676085760. Its totient is φ = 45100800.

The previous prime is 203311019. The next prime is 203311079. The reversal of 203311020 is 20113302.

It is a happy number.

203311020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 203310987 and 203311005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388479 + ... + 389001.

It is an arithmetic number, because the mean of its divisors is an integer number (3521280).

Almost surely, 2203311020 is an apocalyptic number.

203311020 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 203311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338042880).

203311020 is an abundant number, since it is smaller than the sum of its proper divisors (472774740).

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

203311020 is a wasteful number, since it uses less digits than its factorization.

203311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 594 counting only the distinct ones).

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

The square root of 203311020 is about 14258.7173336174. The cubic root of 203311020 is about 588.0130613971.

Adding to 203311020 its reverse (20113302), we get a palindrome (223424322).

The spelling of 203311020 in words is "two hundred three million, three hundred eleven thousand, twenty".