Search a number
-
+
10206244115320 = 23511210492010227
BaseRepresentation
bin1001010010000101001110…
…0011100001001101111000
31100010201002200220212021011
42110201103203201031320
52314204341443142240
633412403412123304
72102243146402201
oct224412343411570
940121080825234
1010206244115320
1132854977aa500
12118a056606534
135905a1ca5496
14273db06065a8
1512a74b6706ea
hex948538e1378

10206244115320 has 96 divisors (see below), whose sum is σ = 25265550618000. Its totient is φ = 3707821652480.

The previous prime is 10206244115299. The next prime is 10206244115321. The reversal of 10206244115320 is 2351144260201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206244115321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4072047 + ... + 6082273.

Almost surely, 210206244115320 is an apocalyptic number.

10206244115320 is a gapful number since it is divisible by the number (10) 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 10206244115320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12632775309000).

10206244115320 is an abundant number, since it is smaller than the sum of its proper divisors (15059306502680).

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

10206244115320 is a wasteful number, since it uses less digits than its factorization.

10206244115320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011309 (or 2011294 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 10206244115320 its reverse (2351144260201), we get a palindrome (12557388375521).

The spelling of 10206244115320 in words is "ten trillion, two hundred six billion, two hundred forty-four million, one hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1049 1210 2098 2420 4196 4840 5245 8392 10490 11539 20980 23078 41960 46156 57695 92312 115390 126929 230780 253858 461560 507716 634645 1015432 1269290 2010227 2538580 4020454 5077160 8040908 10051135 16081816 20102270 22112497 40204540 44224994 80409080 88449988 110562485 176899976 221124970 243237467 442249940 486474934 884499880 972949868 1216187335 1945899736 2108728123 2432374670 4217456246 4864749340 8434912492 9729498680 10543640615 16869824984 21087281230 23196009353 42174562460 46392018706 84349124920 92784037412 115980046765 185568074824 231960093530 255156102883 463920187060 510312205766 927840374120 1020624411532 1275780514415 2041248823064 2551561028830 5103122057660 10206244115320