Search a number
-
+
20334021210 = 23256126314083
BaseRepresentation
bin10010111100000000…
…001000101001011010
31221111010001022012200
4102330000020221122
5313121002134320
613201420351030
71316616220446
oct227400105132
957433038180
1020334021210
118695030108
123b359a5476
131bc0957b19
14dac7d3826
157e024a290
hex4bc008a5a

20334021210 has 96 divisors (see below), whose sum is σ = 53943297408. Its totient is φ = 5312856960.

The previous prime is 20334021199. The next prime is 20334021221. The reversal of 20334021210 is 1212043302.

20334021210 is a `hidden beast` number, since 20 + 33 + 402 + 1 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (20334021199) and next prime (20334021221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1436829 + ... + 1450911.

It is an arithmetic number, because the mean of its divisors is an integer number (561909348).

Almost surely, 220334021210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20334021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26971648704).

20334021210 is an abundant number, since it is smaller than the sum of its proper divisors (33609276198).

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

20334021210 is a wasteful number, since it uses less digits than its factorization.

20334021210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14420 (or 14417 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20334021210 its reverse (1212043302), we get a palindrome (21546064512).

The spelling of 20334021210 in words is "twenty billion, three hundred thirty-four million, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 263 305 366 526 549 610 789 915 1098 1315 1578 1830 2367 2630 2745 3945 4734 5490 7890 11835 14083 16043 23670 28166 32086 42249 48129 70415 80215 84498 96258 126747 140830 144387 160430 211245 240645 253494 288774 422490 481290 633735 721935 859063 1267470 1443870 1718126 2577189 3703829 4295315 5154378 7407658 7731567 8590630 11111487 12885945 15463134 18519145 22222974 25771890 33334461 37038290 38657835 55557435 66668922 77315670 111114870 166672305 225933569 333344610 451867138 677800707 1129667845 1355601414 2033402121 2259335690 3389003535 4066804242 6778007070 10167010605 20334021210