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10091209128 = 23371113420047
BaseRepresentation
bin10010110010111101…
…11010000110101000
3222001021101112112020
421121132322012220
5131131322143003
64345201344440
7505032601530
oct113136720650
928037345466
1010091209128
114309251860
121b57638120
13c4a873880
146ba3064c0
153e0dc7d53
hex2597ba1a8

10091209128 has 128 divisors (see below), whose sum is σ = 33872670720. Its totient is φ = 2419464960.

The previous prime is 10091209127. The next prime is 10091209201. The reversal of 10091209128 is 82190219001.

10091209128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10091209123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186000 + ... + 234047.

It is an arithmetic number, because the mean of its divisors is an integer number (264630240).

Almost surely, 210091209128 is an apocalyptic number.

It is an amenable number.

10091209128 is an abundant number, since it is smaller than the sum of its proper divisors (23781461592).

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

10091209128 is a wasteful number, since it uses less digits than its factorization.

10091209128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420087 (or 420083 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 10091209128 in words is "ten billion, ninety-one million, two hundred nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 420047 840094 1260141 1680188 2520282 2940329 3360376 4620517 5040564 5460611 5880658 8820987 9241034 10081128 10921222 11761316 13861551 16381833 17641974 18482068 21842444 23522632 27723102 32343619 32763666 35283948 36964136 38224277 43684888 55446204 60066721 64687238 65527332 70567896 76448554 97030857 110892408 114672831 120133442 129374476 131054664 152897108 180200163 194061714 229345662 240266884 258748952 305794216 360400326 388123428 420467047 458691324 480533768 720800652 776246856 840934094 917382648 1261401141 1441601304 1681868188 2522802282 3363736376 5045604564 10091209128