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10011110010 = 23511292234691
BaseRepresentation
bin10010101001011010…
…10110101001111010
3221211200200002012020
421110231112221322
5131000321010020
64333220455310
7503041013436
oct112455265172
927750602166
1010011110010
114278013140
121b3484a536
13c370aa345
146ad8159c6
153d8d54c40
hex254b56a7a

10011110010 has 128 divisors (see below), whose sum is σ = 27242127360. Its totient is φ = 2332243200.

The previous prime is 10011110003. The next prime is 10011110033. The reversal of 10011110010 is 1001111001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2131765 + ... + 2136455.

It is an arithmetic number, because the mean of its divisors is an integer number (212829120).

Almost surely, 210011110010 is an apocalyptic number.

10011110010 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 10011110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13621063680).

10011110010 is an abundant number, since it is smaller than the sum of its proper divisors (17231017350).

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

10011110010 is a wasteful number, since it uses less digits than its factorization.

10011110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10011110010 its reverse (1001111001), we get a palindrome (11012221011).

Subtracting from 10011110010 its reverse (1001111001), we obtain a palindrome (9009999009).

It can be divided in two parts, 10011 and 110010, that added together give a palindrome (120021).

The spelling of 10011110010 in words is "ten billion, eleven million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 223 290 319 330 435 446 638 669 870 957 1115 1338 1595 1914 2230 2453 3190 3345 4691 4785 4906 6467 6690 7359 9382 9570 12265 12934 14073 14718 19401 23455 24530 28146 32335 36795 38802 46910 51601 64670 70365 71137 73590 97005 103202 136039 140730 142274 154803 194010 213411 258005 272078 309606 355685 408117 426822 516010 680195 711370 774015 816234 1046093 1067055 1360390 1496429 1548030 2040585 2092186 2134110 2992858 3138279 4081170 4489287 5230465 6276558 7482145 8978574 10460930 11507023 14964290 15691395 22446435 23014046 30336697 31382790 34521069 44892870 57535115 60673394 69042138 91010091 115070230 151683485 172605345 182020182 303366970 333703667 345210690 455050455 667407334 910100910 1001111001 1668518335 2002222002 3337036670 5005555005 10011110010