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204310000000 = 275720431
BaseRepresentation
bin1011111001000111010…
…0110011000110000000
3201112100201022101000001
42332101310303012000
511321411330000000
6233505252205344
720521664226451
oct2762164630600
9645321271001
10204310000000
1179713739a77
123371b009854
1316360230232
149c6268d128
1554aba3146a
hex2f91d33180

204310000000 has 128 divisors (see below), whose sum is σ = 508803384960. Its totient is φ = 81720000000.

The previous prime is 204309999931. The next prime is 204310000061. The reversal of 204310000000 is 13402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2043100000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9989785 + ... + 10010215.

It is an arithmetic number, because the mean of its divisors is an integer number (3975026445).

Almost surely, 2204310000000 is an apocalyptic number.

204310000000 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 204310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254401692480).

204310000000 is an abundant number, since it is smaller than the sum of its proper divisors (304493384960).

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

204310000000 is an frugal number, since it uses more digits than its factorization.

204310000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20480 (or 20438 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 204310000000 its reverse (13402), we get a palindrome (204310013402).

The spelling of 204310000000 in words is "two hundred four billion, three hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 20431 25000 31250 40000 40862 50000 62500 78125 80000 81724 100000 102155 125000 156250 163448 200000 204310 250000 312500 326896 400000 408620 500000 510775 625000 653792 817240 1000000 1021550 1250000 1307584 1634480 2000000 2043100 2500000 2553875 2615168 3268960 4086200 5000000 5107750 6537920 8172400 10000000 10215500 12769375 13075840 16344800 20431000 25538750 32689600 40862000 51077500 63846875 65379200 81724000 102155000 127693750 163448000 204310000 255387500 319234375 326896000 408620000 510775000 638468750 817240000 1021550000 1276937500 1596171875 1634480000 2043100000 2553875000 3192343750 4086200000 5107750000 6384687500 8172400000 10215500000 12769375000 20431000000 25538750000 40862000000 51077500000 102155000000 204310000000