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10029336030 = 233575306527
BaseRepresentation
bin10010101011100101…
…11000010111011110
3221212221222001121000
421111302320113132
5131020002223110
64335111251130
7503351643510
oct112562702736
927787861530
1010029336030
11428733166a
121b3a979aa6
13c3aabc17c
146b1ddbbb0
153da7551c0
hex255cb85de

10029336030 has 64 divisors (see below), whose sum is σ = 30565601280. Its totient is φ = 2292419232.

The previous prime is 10029335999. The next prime is 10029336077. The reversal of 10029336030 is 3063392001.

10029336030 is a `hidden beast` number, since 1 + 0 + 0 + 29 + 33 + 603 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10029335985 and 10029336003.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2651374 + ... + 2655153.

It is an arithmetic number, because the mean of its divisors is an integer number (477587520).

Almost surely, 210029336030 is an apocalyptic number.

10029336030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10029336030 is an abundant number, since it is smaller than the sum of its proper divisors (20536265250).

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

10029336030 is a wasteful number, since it uses less digits than its factorization.

10029336030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306550 (or 5306544 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 10029336030 in words is "ten billion, twenty-nine million, three hundred thirty-six thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 5306527 10613054 15919581 26532635 31839162 37145689 47758743 53065270 74291378 79597905 95517486 111437067 143276229 159195810 185728445 222874134 238793715 286552458 334311201 371456890 477587430 557185335 668622402 716381145 1002933603 1114370670 1432762290 1671556005 2005867206 3343112010 5014668015 10029336030