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203343230100 = 22352739539743
BaseRepresentation
bin1011110101100000110…
…0110111010010010100
3201102212100011101000110
42331120030313102110
511312421331330400
6233225315043020
720456014636353
oct2753014672224
9642770141013
10203343230100
1179267a5248a
12334ab2a0470
1316237b5933a
149bb011199a
155451c15e50
hex2f58337494

203343230100 has 144 divisors (see below), whose sum is σ = 597086284032. Its totient is φ = 53420451840.

The previous prime is 203343230093. The next prime is 203343230159. The reversal of 203343230100 is 1032343302.

203343230100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20865829 + ... + 20875571.

It is an arithmetic number, because the mean of its divisors is an integer number (4146432528).

Almost surely, 2203343230100 is an apocalyptic number.

203343230100 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 203343230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298543142016).

203343230100 is an abundant number, since it is smaller than the sum of its proper divisors (393743053932).

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

203343230100 is a wasteful number, since it uses less digits than its factorization.

203343230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10786 (or 10779 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 203343230100 its reverse (1032343302), we get a palindrome (204375573402).

The spelling of 203343230100 in words is "two hundred three billion, three hundred forty-three million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 953 1095 1460 1825 1906 2190 2859 3650 3812 4380 4765 5475 5718 7300 9530 9743 10950 11436 14295 19060 19486 21900 23825 28590 29229 38972 47650 48715 57180 58458 69569 71475 95300 97430 116916 139138 142950 146145 194860 208707 243575 278276 285900 292290 347845 417414 487150 584580 695690 711239 730725 834828 974300 1043535 1391380 1422478 1461450 1739225 2087070 2133717 2844956 2922900 3478450 3556195 4174140 4267434 5217675 6956900 7112390 8534868 9285079 10435350 10668585 14224780 17780975 18570158 20870700 21337170 27855237 35561950 37140316 42674340 46425395 53342925 55710474 71123900 92850790 106685850 111420948 139276185 185701580 213371700 232126975 278552370 464253950 557104740 677810767 696380925 928507900 1355621534 1392761850 2033432301 2711243068 2785523700 3389053835 4066864602 6778107670 8133729204 10167161505 13556215340 16945269175 20334323010 33890538350 40668646020 50835807525 67781076700 101671615050 203343230100