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10021301300 = 2252733893529
BaseRepresentation
bin10010101010101000…
…01110110000110100
3221212101211212000102
421111110032300310
5131010423120200
64334223133232
7503223440603
oct112524166064
927771755012
1010021301300
114282843a9a
121b38144218
13c39237caa
146b0d09a3a
153d9bb96d5
hex25550ec34

10021301300 has 72 divisors (see below), whose sum is σ = 22107048600. Its totient is φ = 3942328320.

The previous prime is 10021301239. The next prime is 10021301351. The reversal of 10021301300 is 310312001.

It can be written as a sum of positive squares in 12 ways, for example, as 5923765156 + 4097536144 = 76966^2 + 64012^2 .

It is a congruent number.

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, 2837936 + ... + 2841464.

Almost surely, 210021301300 is an apocalyptic number.

10021301300 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 10021301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11053524300).

10021301300 is an abundant number, since it is smaller than the sum of its proper divisors (12085747300).

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

10021301300 is a wasteful number, since it uses less digits than its factorization.

10021301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10021301300 its reverse (310312001), we get a palindrome (10331613301).

The spelling of 10021301300 in words is "ten billion, twenty-one million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 389 730 778 1460 1556 1825 1945 3529 3650 3890 7058 7300 7780 9725 14116 17645 19450 28397 35290 38900 56794 70580 88225 113588 141985 176450 257617 283970 352900 515234 567940 709925 1030468 1288085 1372781 1419850 2576170 2745562 2839700 5152340 5491124 6440425 6863905 12880850 13727810 25761700 27455620 34319525 68639050 100213013 137278100 200426026 400852052 501065065 1002130130 2004260260 2505325325 5010650650 10021301300