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10303321203112 = 237273391791921
BaseRepresentation
bin1001010111101110110111…
…0011001110000110101000
31100110222200011120212202011
42111323231303032012220
52322302200211444422
633525140323045304
72112250622131600
oct225735563160650
940428604525664
1010303321203112
113312683237383
1211a4a29510834
135997a3081372
1427897d3a9c00
1512d02de92077
hex95eedcce1a8

10303321203112 has 96 divisors (see below), whose sum is σ = 22786715554920. Its totient is φ = 4354060677120.

The previous prime is 10303321203101. The next prime is 10303321203121. The reversal of 10303321203112 is 21130212330301.

It can be written as a sum of positive squares in 4 ways, for example, as 8952458948356 + 1350862254756 = 2992066^2 + 1162266^2 .

It is a super-2 number, since 2×103033212031122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112042912 + ... + 112134832.

Almost surely, 210303321203112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10303321203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393357777460).

10303321203112 is an abundant number, since it is smaller than the sum of its proper divisors (12483394351808).

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

10303321203112 is a wasteful number, since it uses less digits than its factorization.

10303321203112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95931 (or 95920 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10303321203112 its reverse (21130212330301), we get a palindrome (31433533533413).

The spelling of 10303321203112 in words is "ten trillion, three hundred three billion, three hundred twenty-one million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 392 511 584 1022 2044 3577 3917 4088 7154 7834 14308 15668 27419 28616 31336 54838 91921 109676 183842 191933 219352 285941 367684 383866 571882 643447 735368 767732 1143764 1286894 1535464 2001587 2287528 2573788 4003174 4504129 5147576 6710233 8006348 9008258 13420466 14011109 16012696 18016516 26840932 28022218 36033032 46971631 53681864 56044436 93943262 112088872 187886524 328801417 360054557 375773048 657602834 720109114 1315205668 1440218228 2520381899 2630411336 2880436456 5040763798 10081527596 17642673293 20163055192 26283982661 35285346586 52567965322 70570693172 105135930644 141141386344 183987878627 210271861288 367975757254 735951514508 1287915150389 1471903029016 2575830300778 5151660601556 10303321203112