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10020333221300 = 22522514575471597
BaseRepresentation
bin1001000111010000101001…
…1001101111010110110100
31022110221020020202220202202
42101310022121233112310
52303133120301040200
633151135540324032
72052642125024003
oct221641231572664
938427206686682
1010020333221300
113213665968146
12115a0113a3618
13578bb489320c
14268db5794c3a
151259ba0811d5
hex91d0a66f5b4

10020333221300 has 144 divisors (see below), whose sum is σ = 21932244871488. Its totient is φ = 3973656960000.

The previous prime is 10020333221299. The next prime is 10020333221309. The reversal of 10020333221300 is 312233302001.

10020333221300 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020333221309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6274472102 + ... + 6274473698.

It is an arithmetic number, because the mean of its divisors is an integer number (152307256052).

Almost surely, 210020333221300 is an apocalyptic number.

10020333221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020333221300 is an abundant number, since it is smaller than the sum of its proper divisors (11911911650188).

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

10020333221300 is a wasteful number, since it uses less digits than its factorization.

10020333221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10020333221300 its reverse (312233302001), we get a palindrome (10332566523301).

The spelling of 10020333221300 in words is "ten trillion, twenty billion, three hundred thirty-three million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 251 457 502 547 914 1004 1094 1255 1597 1828 2188 2285 2510 2735 3194 4570 5020 5470 6275 6388 7985 9140 10940 11425 12550 13675 15970 22850 25100 27350 31940 39925 45700 54700 79850 114707 137297 159700 229414 249979 274594 400847 458828 499958 549188 573535 686485 729829 801694 873559 999916 1147070 1249895 1372970 1459658 1603388 1747118 2004235 2294140 2499790 2745940 2867675 2919316 3432425 3494236 3649145 4008470 4367795 4999580 5735350 6249475 6864850 7298290 8016940 8735590 10021175 11470700 12498950 13729700 14596580 17471180 18245725 20042350 21838975 24997900 36491450 40084700 43677950 62744729 72982900 87355900 125489458 183187079 219263309 250978916 313723645 366374158 399216463 438526618 627447290 732748316 798432926 877053236 915935395 1096316545 1254894580 1568618225 1596865852 1831870790 1996082315 2192633090 3137236450 3663741580 3992164630 4385266180 4579676975 5481582725 6274472900 7984329260 9159353950 9980411575 10963165450 18318707900 19960823150 21926330900 39921646300 100203332213 200406664426 400813328852 501016661065 1002033322130 2004066644260 2505083305325 5010166610650 10020333221300