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203203122100 = 2252111011829011
BaseRepresentation
bin1011110100111111011…
…0011001001110110100
3201102111120112010222021
42331033312121032310
511312124444401400
6233203352042524
720452364016256
oct2751766311664
9642446463867
10203203122100
11791a5957250
1233470393444
1316214b11ab4
149b9967dcd6
15544478c71a
hex2f4fd993b4

203203122100 has 72 divisors (see below), whose sum is σ = 485800219296. Its totient is φ = 73160400000.

The previous prime is 203203122053. The next prime is 203203122137. The reversal of 203203122100 is 1221302302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803406 + ... + 1025605.

It is an arithmetic number, because the mean of its divisors is an integer number (6747225268).

Almost surely, 2203203122100 is an apocalyptic number.

203203122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203203122100 is an abundant number, since it is smaller than the sum of its proper divisors (282597097196).

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

203203122100 is a wasteful number, since it uses less digits than its factorization.

203203122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829137 (or 1829130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 203203122100 its reverse (1221302302), we get a palindrome (204424424402).

The spelling of 203203122100 in words is "two hundred three billion, two hundred three million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 1829011 3658022 7316044 9145055 18290110 20119121 36580220 40238242 45725275 80476484 91450550 100595605 182901100 184730111 201191210 369460222 402382420 502978025 738920444 923650555 1005956050 1847301110 2011912100 2032031221 3694602220 4064062442 4618252775 8128124884 9236505550 10160156105 18473011100 20320312210 40640624420 50800780525 101601561050 203203122100