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10310120300 = 22522337971249
BaseRepresentation
bin10011001101000011…
…11111001101101100
3222121112022101012102
421212201333031230
5132103342322200
64423021354232
7513331401524
oct114641771554
928545271172
1010310120300
114410880a87
121bb8a08978
13c8401c7cc
146db40c684
1540521a6d5
hex26687f36c

10310120300 has 144 divisors (see below), whose sum is σ = 24243240000. Its totient is φ = 3795517440.

The previous prime is 10310120297. The next prime is 10310120321. The reversal of 10310120300 is 302101301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8254076 + ... + 8255324.

Almost surely, 210310120300 is an apocalyptic number.

10310120300 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 10310120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12121620000).

10310120300 is an abundant number, since it is smaller than the sum of its proper divisors (13933119700).

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

10310120300 is a wasteful number, since it uses less digits than its factorization.

10310120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1413 counting only the distinct ones).

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

Adding to 10310120300 its reverse (302101301), we get a palindrome (10612221601).

The spelling of 10310120300 in words is "ten billion, three hundred ten million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 37 46 50 74 92 97 100 115 148 185 194 230 370 388 460 485 575 740 851 925 970 1150 1249 1702 1850 1940 2231 2300 2425 2498 3404 3589 3700 4255 4462 4850 4996 6245 7178 8510 8924 9700 11155 12490 14356 17020 17945 21275 22310 24980 28727 31225 35890 42550 44620 46213 55775 57454 62450 71780 82547 85100 89725 92426 111550 114908 121153 124900 143635 165094 179450 184852 223100 231065 242306 287270 330188 358900 412735 462130 484612 574540 605765 718175 825470 924260 1062899 1155325 1211530 1436350 1650940 2063675 2125798 2310650 2423060 2786519 2872700 3028825 4127350 4251596 4482661 4621300 5314495 5573038 6057650 8254700 8965322 10628990 11146076 12115300 13932595 17930644 21257980 22413305 26572475 27865190 44826610 53144950 55730380 69662975 89653220 103101203 106289900 112066525 139325950 206202406 224133050 278651900 412404812 448266100 515506015 1031012030 2062024060 2577530075 5155060150 10310120300