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10002303100 = 2252435343889
BaseRepresentation
bin10010101000010111…
…10000100001111100
3221211002002122101101
421110023300201330
5130441042144400
64332304022444
7502603113346
oct112413604174
927732078341
1010002303100
1142730483a9
121b31901a24
13c3531585a
146ac5a2296
153d81b556a
hex2542f087c

10002303100 has 72 divisors (see below), whose sum is σ = 22629332880. Its totient is φ = 3834055680.

The previous prime is 10002303061. The next prime is 10002303137. The reversal of 10002303100 is 130320001.

It is a super-2 number, since 2×100023031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 205956 + ... + 249844.

It is an arithmetic number, because the mean of its divisors is an integer number (314296290).

Almost surely, 210002303100 is an apocalyptic number.

10002303100 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 10002303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314666440).

10002303100 is an abundant number, since it is smaller than the sum of its proper divisors (12627029780).

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

10002303100 is a wasteful number, since it uses less digits than its factorization.

10002303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43999 (or 43992 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10002303100 its reverse (130320001), we get a palindrome (10132623101).

The spelling of 10002303100 in words is "ten billion, two million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 53 86 100 106 172 212 215 265 430 530 860 1060 1075 1325 2150 2279 2650 4300 4558 5300 9116 11395 22790 43889 45580 56975 87778 113950 175556 219445 227900 438890 877780 1097225 1887227 2194450 2326117 3774454 4388900 4652234 7548908 9304468 9436135 11630585 18872270 23261170 37744540 46522340 47180675 58152925 94361350 100023031 116305850 188722700 200046062 232611700 400092124 500115155 1000230310 2000460620 2500575775 5001151550 10002303100