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203412100 = 225219151709
BaseRepresentation
bin11000001111111…
…01001010000100
3112011202101221111
430013331022010
5404033141400
632103454404
75016655123
oct1407751204
9464671844
10203412100
11a4903581
1258157404
13331b03b8
141d02daba
1512cd03ba
hexc1fd284

203412100 has 72 divisors (see below), whose sum is σ = 468372800. Its totient is φ = 76464000.

The previous prime is 203412073. The next prime is 203412103. The reversal of 203412100 is 1214302.

It is not an unprimeable number, because it can be changed into a prime (203412103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286546 + ... + 287254.

Almost surely, 2203412100 is an apocalyptic number.

203412100 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 203412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234186400).

203412100 is an abundant number, since it is smaller than the sum of its proper divisors (264960700).

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

203412100 is a wasteful number, since it uses less digits than its factorization.

203412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 203412100 is about 14262.2613915185. The cubic root of 203412100 is about 588.1104926021.

Adding to 203412100 its reverse (1214302), we get a palindrome (204626402).

The spelling of 203412100 in words is "two hundred three million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 151 190 302 380 475 604 709 755 950 1418 1510 1900 2836 2869 3020 3545 3775 5738 7090 7550 11476 13471 14180 14345 15100 17725 26942 28690 35450 53884 57380 67355 70900 71725 107059 134710 143450 214118 269420 286900 336775 428236 535295 673550 1070590 1347100 2034121 2141180 2676475 4068242 5352950 8136484 10170605 10705900 20341210 40682420 50853025 101706050 203412100