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10004312123306 = 2293835576131319
BaseRepresentation
bin1001000110010100111101…
…1110000110011110101010
31022102101212201020210221222
42101211033132012132222
52302402312400421211
633135530104502042
72051534115652334
oct221451736063652
938371781223858
1010004312123306
113207894422096
121156a9ba7a922
13577530630b87
142682d5ad0454
1512537d7be1db
hex9194f7867aa

10004312123306 has 64 divisors (see below), whose sum is σ = 15629685350400. Its totient is φ = 4796925993216.

The previous prime is 10004312123287. The next prime is 10004312123329. The reversal of 10004312123306 is 60332121340001.

It is a super-2 number, since 2×100043121233062 (a number of 27 digits) contains 22 as substring.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 7584769715 + ... + 7584771033.

It is an arithmetic number, because the mean of its divisors is an integer number (244213833600).

Almost surely, 210004312123306 is an apocalyptic number.

10004312123306 is a deficient number, since it is larger than the sum of its proper divisors (5625373227094).

10004312123306 is a wasteful number, since it uses less digits than its factorization.

10004312123306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 10004312123306 its reverse (60332121340001), we get a palindrome (70336433463307).

The spelling of 10004312123306 in words is "ten trillion, four billion, three hundred twelve million, one hundred twenty-three thousand, three hundred six".

Divisors: 1 2 29 58 383 557 613 766 1114 1226 1319 2638 11107 16153 17777 22214 32306 35554 38251 76502 213331 234779 341441 426662 469558 505177 682882 734683 808547 1010354 1469366 1617094 6186599 6808591 9901789 12373198 13617182 14650133 19803578 21305807 23447863 29300266 42611614 46895726 130771903 261543806 281383589 309673501 450360679 562767178 619347002 900721358 3792385187 7584770374 8160124081 8980531529 13060459691 16320248162 17961063058 26120919382 172488140057 344976280114 5002156061653 10004312123306