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10330301222000 = 245312894007099
BaseRepresentation
bin1001011001010011010111…
…1011110100110001110000
31100120120022110020211211222
42112110311323310301300
52323222424103101000
633545401434324212
72114224331405024
oct226246573646160
940516273224758
1010330301222000
113323068802951
1211aa0b8b89668
1359c1b2887296
14279dbc6ca384
1512daac8cba85
hex96535ef4c70

10330301222000 has 80 divisors (see below), whose sum is σ = 24998052924000. Its totient is φ = 4128913779200.

The previous prime is 10330301221997. The next prime is 10330301222027. The reversal of 10330301222000 is 22210303301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10330301222000.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 574451 + ... + 4581549.

It is an arithmetic number, because the mean of its divisors is an integer number (312475661550).

Almost surely, 210330301222000 is an apocalyptic number.

10330301222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10330301222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499026462000).

10330301222000 is an abundant number, since it is smaller than the sum of its proper divisors (14667751702000).

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

10330301222000 is a wasteful number, since it uses less digits than its factorization.

10330301222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008411 (or 4008395 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10330301222000 its reverse (22210303301), we get a palindrome (10352511525301).

The spelling of 10330301222000 in words is "ten trillion, three hundred thirty billion, three hundred one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1289 2000 2578 5156 6445 10312 12890 20624 25780 32225 51560 64450 103120 128900 161125 257800 322250 515600 644500 1289000 2578000 4007099 8014198 16028396 20035495 32056792 40070990 64113584 80141980 100177475 160283960 200354950 320567920 400709900 500887375 801419800 1001774750 1602839600 2003549500 4007099000 5165150611 8014198000 10330301222 20660602444 25825753055 41321204888 51651506110 82642409776 103303012220 129128765275 206606024440 258257530550 413212048880 516515061100 645643826375 1033030122200 1291287652750 2066060244400 2582575305500 5165150611000 10330301222000