Search a number
-
+
10204310324000 = 255313196236737
BaseRepresentation
bin1001010001111110000001…
…0010101100001100100000
31100010112002221011002021102
42110133200102230030200
52314141411420332000
633411443452213532
72102144215423502
oct224374022541440
940115087132242
1010204310324000
113284695174461
1211897b6a6a2a8
13590354470070
14273c69863d72
1512a6869da3d5
hex947e04ac320

10204310324000 has 96 divisors (see below), whose sum is σ = 27000605254896. Its totient is φ = 3767745331200.

The previous prime is 10204310323979. The next prime is 10204310324023. The reversal of 10204310324000 is 42301340201.

It can be written as a sum of positive squares in 8 ways, for example, as 219140079376 + 9985170244624 = 468124^2 + 3159932^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 98066369 + ... + 98170368.

Almost surely, 210204310324000 is an apocalyptic number.

10204310324000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10204310324000 is an abundant number, since it is smaller than the sum of its proper divisors (16796294930896).

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

10204310324000 is a wasteful number, since it uses less digits than its factorization.

10204310324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196236775 (or 196236757 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10204310324000 its reverse (42301340201), we get a palindrome (10246611664201).

The spelling of 10204310324000 in words is "ten trillion, two hundred four billion, three hundred ten million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 196236737 392473474 784946948 981183685 1569893896 1962367370 2551077581 3139787792 3924734740 4905918425 5102155162 6279575584 7849469480 9811836850 10204310324 12755387905 15698938960 19623673700 20408620648 24529592125 25510775810 31397877920 39247347400 40817241296 49059184250 51021551620 63776939525 78494694800 81634482592 98118368500 102043103240 127553879050 156989389600 196236737000 204086206480 255107758100 318884697625 392473474000 408172412960 510215516200 637769395250 784946948000 1020431032400 1275538790500 2040862064800 2551077581000 5102155162000 10204310324000