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10010112321330 = 2335117127472907
BaseRepresentation
bin1001000110101010100100…
…1100000110011100110010
31022102221211221100101212000
42101222221030012130302
52303001202223240310
633142325423114430
72052130625556552
oct221525114063462
938387757311760
1010010112321330
11320a2a0495780
12115803a442a16
13577c461b1804
142686c616d162
151255bcadb4c0
hex91aa9306732

10010112321330 has 128 divisors (see below), whose sum is σ = 29124474255360. Its totient is φ = 2426348272320.

The previous prime is 10010112321311. The next prime is 10010112321373. The reversal of 10010112321330 is 3312321101001.

10010112321330 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 1 + 12 + 321 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20930737 + ... + 21403643.

It is an arithmetic number, because the mean of its divisors is an integer number (227534955120).

Almost surely, 210010112321330 is an apocalyptic number.

10010112321330 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 10010112321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14562237127680).

10010112321330 is an abundant number, since it is smaller than the sum of its proper divisors (19114361934030).

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

10010112321330 is a wasteful number, since it uses less digits than its factorization.

10010112321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480061 (or 480055 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10010112321330 its reverse (3312321101001), we get a palindrome (13322433422331).

The spelling of 10010112321330 in words is "ten trillion, ten billion, one hundred twelve million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 7127 14254 21381 35635 42762 64143 71270 78397 106905 128286 156794 192429 213810 235191 320715 384858 391985 470382 472907 641430 705573 783970 945814 962145 1175955 1411146 1418721 1924290 2116719 2351910 2364535 2837442 3527865 4233438 4256163 4729070 5201977 7055730 7093605 8512326 10403954 10583595 12768489 14187210 15605931 21167190 21280815 25536978 26009885 31211862 42561630 46817793 52019770 63842445 78029655 93635586 127684890 140453379 156059310 234088965 280906758 468177930 702266895 1404533790 3370408189 6740816378 10111224567 16852040945 20222449134 30333673701 33704081890 37074490079 50556122835 60667347402 74148980158 91001021103 101112245670 111223470237 151668368505 182002042206 185372450395 222446940474 303336737010 333670410711 370744900790 455005105515 556117351185 667340821422 910010211030 1001011232133 1112234702370 1668352053555 2002022464266 3336704107110 5005056160665 10010112321330