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10100442110330 = 251113101552712653
BaseRepresentation
bin1001001011111011000101…
…0000111001100101111010
31022202121000011210010102202
42102332301100321211322
52310441201140012310
633252025024030202
72061506241242225
oct222766120714572
938677004703382
1010100442110330
113244634287160
121171649762362
135836104317c0
1426cc14b965bc
15127b07dad3a5
hex92fb143997a

10100442110330 has 128 divisors (see below), whose sum is σ = 21576342283776. Its totient is φ = 3355917696000.

The previous prime is 10100442110323. The next prime is 10100442110387. The reversal of 10100442110330 is 3301124400101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 798258284 + ... + 798270936.

It is an arithmetic number, because the mean of its divisors is an integer number (168565174092).

Almost surely, 210100442110330 is an apocalyptic number.

10100442110330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100442110330 is an abundant number, since it is smaller than the sum of its proper divisors (11475900173446).

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

10100442110330 is a wasteful number, since it uses less digits than its factorization.

10100442110330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18312.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10100442110330 its reverse (3301124400101), we get a palindrome (13401566510431).

The spelling of 10100442110330 in words is "ten trillion, one hundred billion, four hundred forty-two million, one hundred ten thousand, three hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 101 110 130 143 202 286 505 715 1010 1111 1313 1430 2222 2626 5527 5555 6565 11054 11110 12653 13130 14443 25306 27635 28886 55270 60797 63265 71851 72215 121594 126530 139183 143702 144430 164489 278366 303985 328978 359255 558227 607970 695915 718510 790361 822445 1116454 1277953 1391830 1580722 1644890 1809379 2555906 2791135 3618758 3951805 5582270 6140497 6389765 7256951 7903610 9046895 12280994 12779530 14057483 14513902 16613389 18093790 28114966 30702485 33226778 36284755 61404970 69933131 70287415 72569510 79826461 83066945 139866262 140574830 159652922 166133890 182747279 349665655 365494558 399132305 699331310 769264441 798264610 909130703 913736395 1538528882 1818261406 1827472790 3846322205 4545653515 7063246231 7692644410 9091307030 10000437733 14126492462 20000875466 35316231155 50002188665 70632462310 77695708541 91822201003 100004377330 155391417082 183644402006 388478542705 459111005015 776957085410 918222010030 1010044211033 2020088422066 5050221055165 10100442110330