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203021112 = 23372295953
BaseRepresentation
bin11000001100111…
…01101100111000
3112011000112121110
430012131230320
5403433133422
632051240320
75013436200
oct1406355470
9464015543
10203021112
11a4666848
1257ba90a0
13330a4448
141cd6b400
1512c5460c
hexc19db38

203021112 has 96 divisors (see below), whose sum is σ = 610880400. Its totient is φ = 55996416.

The previous prime is 203021107. The next prime is 203021113. The reversal of 203021112 is 211120302.

203021112 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (203021113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31128 + ... + 37080.

Almost surely, 2203021112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305440200).

203021112 is an abundant number, since it is smaller than the sum of its proper divisors (407859288).

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

203021112 is a wasteful number, since it uses less digits than its factorization.

203021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 203021112 is about 14248.5477154691. The cubic root of 203021112 is about 587.7334392678.

Adding to 203021112 its reverse (211120302), we get a palindrome (414141414).

The spelling of 203021112 in words is "two hundred three million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2436 2842 4263 4872 5684 5953 8526 11368 11906 17052 17859 23812 34104 35718 41671 47624 71436 83342 125013 142872 166684 172637 250026 291697 333368 345274 500052 517911 583394 690548 875091 1000104 1035822 1166788 1208459 1381096 1750182 2071644 2333576 2416918 3500364 3625377 4143288 4833836 7000728 7250754 8459213 9667672 14501508 16918426 25377639 29003016 33836852 50755278 67673704 101510556 203021112