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10010330010 = 23251031099907
BaseRepresentation
bin10010101001010100…
…11000001110011010
3221211122012110020100
421110222120032122
5131000121030020
64333152040230
7503031254412
oct112452301632
927748173210
1010010330010
11427763010a
121b34533076
13c36b962c5
146ad691642
153d8c4da90
hex254a9839a

10010330010 has 96 divisors (see below), whose sum is σ = 26523319680. Its totient is φ = 2618987904.

The previous prime is 10010330009. The next prime is 10010330017. The reversal of 10010330010 is 1003301001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010329974 and 10010330001.

It is not an unprimeable number, because it can be changed into a prime (10010330017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005477 + ... + 1015383.

It is an arithmetic number, because the mean of its divisors is an integer number (276284580).

Almost surely, 210010330010 is an apocalyptic number.

10010330010 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 10010330010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13261659840).

10010330010 is an abundant number, since it is smaller than the sum of its proper divisors (16512989670).

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

10010330010 is a wasteful number, since it uses less digits than its factorization.

10010330010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10010330010 its reverse (1003301001), we get a palindrome (11013631011).

The spelling of 10010330010 in words is "ten billion, ten million, three hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 109 206 218 309 327 515 545 618 654 927 981 1030 1090 1545 1635 1854 1962 3090 3270 4635 4905 9270 9810 9907 11227 19814 22454 29721 33681 49535 56135 59442 67362 89163 99070 101043 112270 148605 168405 178326 202086 297210 336810 445815 505215 891630 1010430 1020421 1079863 2040842 2159726 3061263 3239589 5102105 5399315 6122526 6479178 9183789 9718767 10204210 10798630 15306315 16197945 18367578 19437534 30612630 32395890 45918945 48593835 91837890 97187670 111225889 222451778 333677667 556129445 667355334 1001033001 1112258890 1668388335 2002066002 3336776670 5005165005 10010330010