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10240220003232 = 253827877147073
BaseRepresentation
bin1001010100000011110010…
…1011001111101110100000
31100020221210112112210112010
42111000330223033232200
52320233432310100412
633440143033232520
72104555124601042
oct225007453175640
940227715483463
1010240220003232
113298942258a0a
121194758b62740
13593857c98c7b
142758b4ac9a92
1512b58935a33c
hex9503cacfba0

10240220003232 has 96 divisors (see below), whose sum is σ = 26943952093632. Its totient is φ = 3405368623104.

The previous prime is 10240220003207. The next prime is 10240220003269. The reversal of 10240220003232 is 23230002204201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10240220003199 and 10240220003208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69553248 + ... + 69700320.

It is an arithmetic number, because the mean of its divisors is an integer number (280666167642).

Almost surely, 210240220003232 is an apocalyptic number.

10240220003232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10240220003232 is an abundant number, since it is smaller than the sum of its proper divisors (16703732090400).

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

10240220003232 is a wasteful number, since it uses less digits than its factorization.

10240220003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148790 (or 148782 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10240220003232 its reverse (23230002204201), we get a palindrome (33470222207433).

The spelling of 10240220003232 in words is "ten trillion, two hundred forty billion, two hundred twenty million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 827 877 1654 1754 2481 2631 3308 3508 4962 5262 6616 7016 9924 10524 13232 14032 19848 21048 26464 28064 39696 42096 79392 84192 147073 294146 441219 588292 725279 882438 1176584 1450558 1764876 2175837 2353168 2901116 3529752 4351674 4706336 5802232 7059504 8703348 11604464 14119008 17406696 23208928 34813392 69626784 121629371 128983021 243258742 257966042 364888113 386949063 486517484 515932084 729776226 773898126 973034968 1031864168 1459552452 1547796252 1946069936 2063728336 2919104904 3095592504 3892139872 4127456672 5838209808 6191185008 11676419616 12382370016 106668958367 213337916734 320006875101 426675833468 640013750202 853351666936 1280027500404 1706703333872 2560055000808 3413406667744 5120110001616 10240220003232