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203021133100 = 225243151131247
BaseRepresentation
bin1011110100010100000…
…0001010010100101100
3201102000220002010222221
42331011000022110230
511311241402224400
6233133331245124
720445024105142
oct2750500122454
9642026063887
10203021133100
1179112156215
123341b4497a4
13161b61c27b6
149b7d429592
1554337dec1a
hex2f4500a52c

203021133100 has 72 divisors (see below), whose sum is σ = 451114126848. Its totient is φ = 79264852800.

The previous prime is 203021133089. The next prime is 203021133157. The reversal of 203021133100 is 1331120302.

It is a super-2 number, since 2×2030211331002 (a number of 23 digits) contains 22 as substring.

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, 6481677 + ... + 6512923.

It is an arithmetic number, because the mean of its divisors is an integer number (6265473984).

Almost surely, 2203021133100 is an apocalyptic number.

203021133100 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 203021133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225557063424).

203021133100 is an abundant number, since it is smaller than the sum of its proper divisors (248092993748).

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

203021133100 is a wasteful number, since it uses less digits than its factorization.

203021133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32815 (or 32808 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 203021133100 its reverse (1331120302), we get a palindrome (204352253402).

The spelling of 203021133100 in words is "two hundred three billion, twenty-one million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 1511 2150 3022 4300 6044 7555 15110 30220 31247 37775 62494 64973 75550 124988 129946 151100 156235 259892 312470 324865 624940 649730 781175 1299460 1343621 1562350 1624325 2687242 3124700 3248650 5374484 6497300 6718105 13436210 26872420 33590525 47214217 67181050 94428434 134362100 188856868 236071085 472142170 944284340 1180355425 2030211331 2360710850 4060422662 4721421700 8120845324 10151056655 20302113310 40604226620 50755283275 101510566550 203021133100