Search a number
-
+
10213205550 = 23521131813329
BaseRepresentation
bin10011000001100000…
…10010011000101110
3222100202221121011020
421200300102120232
5131404040034200
64405240235010
7511043546322
oct114060223056
928322847136
1010213205550
1143710a7549
121b9046ba66
13c69c193c2
146cc5c1982
153eb974ea0
hex260c1262e

10213205550 has 96 divisors (see below), whose sum is σ = 25701792480. Its totient is φ = 2683699200.

The previous prime is 10213205537. The next prime is 10213205621. The reversal of 10213205550 is 5550231201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10213205550.

It is a congruent number.

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, 3066286 + ... + 3069614.

It is an arithmetic number, because the mean of its divisors is an integer number (267727005).

Almost surely, 210213205550 is an apocalyptic number.

10213205550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213205550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12850896240).

10213205550 is an abundant number, since it is smaller than the sum of its proper divisors (15488586930).

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

10213205550 is a wasteful number, since it uses less digits than its factorization.

10213205550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 10213205550 its reverse (5550231201), we get a palindrome (15763436751).

The spelling of 10213205550 in words is "ten billion, two hundred thirteen million, two hundred five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 113 150 181 226 339 362 543 565 678 905 1086 1130 1695 1810 2715 2825 3329 3390 4525 5430 5650 6658 8475 9050 9987 13575 16645 16950 19974 20453 27150 33290 40906 49935 61359 83225 99870 102265 122718 166450 204530 249675 306795 376177 499350 511325 602549 613590 752354 1022650 1128531 1205098 1533975 1807647 1880885 2257062 3012745 3067950 3615294 3761770 5642655 6025490 9038235 9404425 11285310 15063725 18076470 18808850 28213275 30127450 45191175 56426550 68088037 90382350 136176074 204264111 340440185 408528222 680880370 1021320555 1702200925 2042641110 3404401850 5106602775 10213205550