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203013100 = 225219591811
BaseRepresentation
bin11000001100110…
…11101111101100
3112011000010121201
430012123233230
5403432404400
632051135244
75013403633
oct1406335754
9464003551
10203013100
11a4660824
1257ba4524
13330a08c4
141cd6851a
1512c5206a
hexc19bbec

203013100 has 72 divisors (see below), whose sum is σ = 471844800. Its totient is φ = 75585600.

The previous prime is 203013091. The next prime is 203013127. The reversal of 203013100 is 1310302.

It is a super-2 number, since 2×2030131002 = 82428637543220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111195 + ... + 113005.

It is an arithmetic number, because the mean of its divisors is an integer number (6553400).

Almost surely, 2203013100 is an apocalyptic number.

203013100 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 203013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235922400).

203013100 is an abundant number, since it is smaller than the sum of its proper divisors (268831700).

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

203013100 is a wasteful number, since it uses less digits than its factorization.

203013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 203013100 is about 14248.2665612347. The cubic root of 203013100 is about 587.7257077529.

Adding to 203013100 its reverse (1310302), we get a palindrome (204323402).

The spelling of 203013100 in words is "two hundred three million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 59 76 95 100 118 190 236 295 380 475 590 950 1121 1180 1475 1811 1900 2242 2950 3622 4484 5605 5900 7244 9055 11210 18110 22420 28025 34409 36220 45275 56050 68818 90550 106849 112100 137636 172045 181100 213698 344090 427396 534245 688180 860225 1068490 1720450 2030131 2136980 2671225 3440900 4060262 5342450 8120524 10150655 10684900 20301310 40602620 50753275 101506550 203013100