Search a number
-
+
203243224100 = 225272193214913
BaseRepresentation
bin1011110101001000111…
…1010111110000100100
3201102121100222112120112
42331102033113300210
511312220231132400
6233211343352152
720453361620600
oct2752217276044
9642540875515
10203243224100
11792165574a4
12334818b2658
1316220212ba7
149ba0b1c500
15544805e835
hex2f523d7c24

203243224100 has 108 divisors (see below), whose sum is σ = 515704625604. Its totient is φ = 69322014720.

The previous prime is 203243224061. The next prime is 203243224103. The reversal of 203243224100 is 1422342302.

It can be written as a sum of positive squares in 6 ways, for example, as 2388667876 + 200854556224 = 48874^2 + 448168^2 .

It is not an unprimeable number, because it can be changed into a prime (203243224103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 838244 + ... + 1053156.

Almost surely, 2203243224100 is an apocalyptic number.

203243224100 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 203243224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257852312802).

203243224100 is an abundant number, since it is smaller than the sum of its proper divisors (312461401504).

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

203243224100 is a wasteful number, since it uses less digits than its factorization.

203243224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215134 (or 215120 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 203243224100 its reverse (1422342302), we get a palindrome (204665566402).

The spelling of 203243224100 in words is "two hundred three billion, two hundred forty-three million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 193 196 245 350 386 490 700 772 965 980 1225 1351 1930 2450 2702 3860 4825 4900 5404 6755 9457 9650 13510 18914 19300 27020 33775 37828 47285 67550 94570 135100 189140 214913 236425 429826 472850 859652 945700 1074565 1504391 2149130 3008782 4298260 5372825 6017564 7521955 10530737 10745650 15043910 21061474 21491300 30087820 37609775 41478209 42122948 52653685 75219550 82956418 105307370 150439100 165912836 207391045 210614740 263268425 290347463 414782090 526536850 580694926 829564180 1036955225 1053073700 1161389852 1451737315 2032432241 2073910450 2903474630 4064864482 4147820900 5806949260 7258686575 8129728964 10162161205 14517373150 20324322410 29034746300 40648644820 50810806025 101621612050 203243224100