Search a number
-
+
10211300322220 = 2254122773337481
BaseRepresentation
bin1001010010011000000011…
…1011011010101110101100
31100011012011002001210012101
42110212000323122232230
52314300220340302340
633415001232144444
72102512353425164
oct224460073325654
940135132053171
1010211300322220
113287651907598
12118b027998124
13590bc968369a
1427432dd395a4
1512a9454cac9a
hex94980edabac

10211300322220 has 96 divisors (see below), whose sum is σ = 22069476789696. Its totient is φ = 3966271795200.

The previous prime is 10211300322217. The next prime is 10211300322247. The reversal of 10211300322220 is 2222300311201.

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, 1364960880 + ... + 1364968360.

It is an arithmetic number, because the mean of its divisors is an integer number (229890383226).

Almost surely, 210211300322220 is an apocalyptic number.

10211300322220 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 10211300322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11034738394848).

10211300322220 is an abundant number, since it is smaller than the sum of its proper divisors (11858176467476).

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

10211300322220 is a wasteful number, since it uses less digits than its factorization.

10211300322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15091 (or 15089 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10211300322220 its reverse (2222300311201), we get a palindrome (12433600633421).

The spelling of 10211300322220 in words is "ten trillion, two hundred eleven billion, three hundred million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 227 410 454 820 908 1135 2270 4540 7333 7481 9307 14666 14962 18614 29332 29924 36665 37228 37405 46535 73330 74810 93070 146660 149620 186140 300653 306721 601306 613442 1202612 1226884 1503265 1533605 1664591 1698187 3006530 3067210 3329182 3396374 6013060 6134420 6658364 6792748 8322955 8490935 16645910 16981870 33291820 33963740 54858173 68248231 69625667 109716346 136496462 139251334 219432692 272992924 274290865 278502668 341241155 348128335 548581730 682482310 696256670 1097163460 1364964620 1392513340 2249185093 4498370186 8996740372 11245925465 12452805271 22491850930 24905610542 44983701860 49811221084 62264026355 124528052710 249056105420 510565016111 1021130032222 2042260064444 2552825080555 5105650161110 10211300322220