Search a number
-
+
10001334224420 = 22571113946722107
BaseRepresentation
bin1001000110001001110111…
…1110010100011000100100
31022102010012011210212122122
42101202131332110120210
52302330213030140140
633134314410045112
72051400246146360
oct221423576243044
938363164725578
1010001334224420
1132065a6487630
1211563aa719798
135771776b7226
142680d23dc2a0
15125257143ab5
hex9189df94624

10001334224420 has 96 divisors (see below), whose sum is σ = 26373695523840. Its totient is φ = 3094872301440.

The previous prime is 10001334224389. The next prime is 10001334224443. The reversal of 10001334224420 is 2442243310001.

It is a self number, because there is not a number n which added to its sum of digits gives 10001334224420.

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, 23146994 + ... + 23575113.

It is an arithmetic number, because the mean of its divisors is an integer number (274725995040).

Almost surely, 210001334224420 is an apocalyptic number.

10001334224420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001334224420 is an abundant number, since it is smaller than the sum of its proper divisors (16372361299420).

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

10001334224420 is a wasteful number, since it uses less digits than its factorization.

10001334224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46722273 (or 46722271 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10001334224420 its reverse (2442243310001), we get a palindrome (12443577534421).

The spelling of 10001334224420 in words is "ten trillion, one billion, three hundred thirty-four million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 139 140 154 220 278 308 385 556 695 770 973 1390 1529 1540 1946 2780 3058 3892 4865 6116 7645 9730 10703 15290 19460 21406 30580 42812 53515 107030 214060 46722107 93444214 186888428 233610535 327054749 467221070 513943177 654109498 934442140 1027886354 1308218996 1635273745 2055772708 2569715885 3270547490 3597602239 5139431770 6494372873 6541094980 7195204478 10278863540 12988745746 14390408956 17988011195 25977491492 32471864365 35976022390 45460610111 64943728730 71438101603 71952044780 90921220222 129887457460 142876203206 181842440444 227303050555 285752406412 357190508015 454606101110 500066711221 714381016030 909212202220 1000133422442 1428762032060 2000266844884 2500333556105 5000667112210 10001334224420