Search a number
-
+
204545311000 = 235312713911587
BaseRepresentation
bin1011111001111111011…
…0011100000100011000
3201112222010002102000021
42332133312130010120
511322402044423000
6233544455520224
720530552312402
oct2763766340430
9645863072007
10204545311000
117982454a678
1233785989074
1316399bcba04
149c85a23b72
1554c251311a
hex2f9fd9c118

204545311000 has 128 divisors (see below), whose sum is σ = 485917286400. Its totient is φ = 80582947200.

The previous prime is 204545310997. The next prime is 204545311021. The reversal of 204545311000 is 113545402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17647207 + ... + 17658793.

It is an arithmetic number, because the mean of its divisors is an integer number (3796228800).

Almost surely, 2204545311000 is an apocalyptic number.

204545311000 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 204545311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242958643200).

204545311000 is an abundant number, since it is smaller than the sum of its proper divisors (281371975400).

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

204545311000 is a wasteful number, since it uses less digits than its factorization.

204545311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11874 (or 11860 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 204545311000 its reverse (113545402), we get a palindrome (204658856402).

The spelling of 204545311000 in words is "two hundred four billion, five hundred forty-five million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 139 200 250 254 278 500 508 556 635 695 1000 1016 1112 1270 1390 2540 2780 3175 3475 5080 5560 6350 6950 11587 12700 13900 15875 17375 17653 23174 25400 27800 31750 34750 35306 46348 57935 63500 69500 70612 88265 92696 115870 127000 139000 141224 176530 231740 289675 353060 441325 463480 579350 706120 882650 1158700 1448375 1471549 1610593 1765300 2206625 2317400 2896750 2943098 3221186 3530600 4413250 5793500 5886196 6442372 7357745 8052965 8826500 11587000 11772392 12884744 14715490 16105930 17653000 29430980 32211860 36788725 40264825 58861960 64423720 73577450 80529650 147154900 161059300 183943625 201324125 204545311 294309800 322118600 367887250 402648250 409090622 735774500 805296500 818181244 1022726555 1471549000 1610593000 1636362488 2045453110 4090906220 5113632775 8181812440 10227265550 20454531100 25568163875 40909062200 51136327750 102272655500 204545311000