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10011000000110 = 25234127110973571
BaseRepresentation
bin1001000110101101111000…
…0110010100111001101110
31022110001010210200011012212
42101223132012110321232
52303010012000000420
633142553453130422
72052161624660414
oct221533606247156
938401123604185
1010011000000110
11320a7065719aa
121158247789a12
13578058082c25
1426876bddd2b4
151256209d23c5
hex91ade194e6e

10011000000110 has 128 divisors (see below), whose sum is σ = 19356005265408. Its totient is φ = 3718649088000.

The previous prime is 10011000000109. The next prime is 10011000000149. The reversal of 10011000000110 is 1100000011001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 10011000000094 and 10011000000103.

It is a congruent number.

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, 2803414625 + ... + 2803418195.

It is an arithmetic number, because the mean of its divisors is an integer number (151218791136).

Almost surely, 210011000000110 is an apocalyptic number.

10011000000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011000000110 is a deficient number, since it is larger than the sum of its proper divisors (9345005265298).

10011000000110 is a wasteful number, since it uses less digits than its factorization.

10011000000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10011000000110 its reverse (1100000011001), we get a palindrome (11111000011111).

The spelling of 10011000000110 in words is "ten trillion, eleven billion, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 23 41 46 82 115 205 230 271 410 542 943 1097 1355 1886 2194 2710 3571 4715 5485 6233 7142 9430 10970 11111 12466 17855 22222 25231 31165 35710 44977 50462 55555 62330 82133 89954 111110 126155 146411 164266 224885 252310 255553 292822 297287 410665 449770 511106 594574 732055 821330 967741 1034471 1277765 1464110 1486435 1935482 2068942 2555530 2972870 3367453 3917387 4838705 5172355 6734906 6837601 7834774 9677410 10344710 12188767 13675202 16837265 19586935 22258043 24377534 33674530 34188005 39173870 39677381 44516086 60943835 68376010 79354762 90099901 111290215 121887670 160612867 180199802 198386905 222580430 280341641 321225734 396773810 450499505 560683282 803064335 900999010 912579763 1061611877 1401708205 1606128670 1825159526 2123223754 2803416410 3694095941 4562898815 5308059385 7388191882 9125797630 10616118770 18470479705 24417073171 36940959410 43526086957 48834146342 87052173914 122085365855 217630434785 244170731710 435260869570 1001100000011 2002200000022 5005500000055 10011000000110