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10310301300 = 2235213315643
BaseRepresentation
bin10011001101000101…
…01011011001110100
3222121112122120111010
421212202223121310
5132103414120200
64423025312220
7513333054315
oct114642533164
928545576433
1010310301300
114410994a72
121bb8a95670
13c84084000
146db45860c
15405254150
hex2668ab674

10310301300 has 144 divisors (see below), whose sum is σ = 32318000960. Its totient is φ = 2537758080.

The previous prime is 10310301293. The next prime is 10310301301. The reversal of 10310301300 is 310301301.

10310301300 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310301301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651279 + ... + 666921.

Almost surely, 210310301300 is an apocalyptic number.

10310301300 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 10310301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16159000480).

10310301300 is an abundant number, since it is smaller than the sum of its proper divisors (22007699660).

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

10310301300 is a wasteful number, since it uses less digits than its factorization.

10310301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15699 (or 15666 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10310301300 its reverse (310301301), we get a palindrome (10620602601).

Subtracting from 10310301300 its reverse (310301301), we obtain a palindrome (9999999999).

The spelling of 10310301300 in words is "ten billion, three hundred ten million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 650 676 780 845 975 1014 1300 1690 1950 2028 2197 2535 3380 3900 4225 4394 5070 6591 8450 8788 10140 10985 12675 13182 15643 16900 21970 25350 26364 31286 32955 43940 46929 50700 54925 62572 65910 78215 93858 109850 131820 156430 164775 187716 203359 219700 234645 312860 329550 391075 406718 469290 610077 659100 782150 813436 938580 1016795 1173225 1220154 1564300 2033590 2346450 2440308 2643667 3050385 4067180 4692900 5083975 5287334 6100770 7931001 10167950 10574668 12201540 13218335 15251925 15862002 20335900 26436670 30503850 31724004 34367671 39655005 52873340 61007700 66091675 68735342 79310010 103103013 132183350 137470684 158620020 171838355 198275025 206206026 264366700 343676710 396550050 412412052 515515065 687353420 793100100 859191775 1031030130 1718383550 2062060260 2577575325 3436767100 5155150650 10310301300