Search a number
-
+
10252366300 = 22521125471549
BaseRepresentation
bin10011000110001011…
…01011000111011100
3222110111122011121101
421203011223013130
5131444101210200
64413155442444
7512030450521
oct114305530734
928414564541
1010252366300
114391214600
121ba15b6424
13c7507ac47
146d3897148
1540010d26a
hex26316b1dc

10252366300 has 108 divisors (see below), whose sum is σ = 24514533400. Its totient is φ = 3718915200.

The previous prime is 10252366279. The next prime is 10252366321. The reversal of 10252366300 is 366325201.

10252366300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10252366279) and next prime (10252366321).

It is a super-2 number, since 2×102523663002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6617926 + ... + 6619474.

Almost surely, 210252366300 is an apocalyptic number.

10252366300 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 10252366300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257266700).

10252366300 is an abundant number, since it is smaller than the sum of its proper divisors (14262167100).

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

10252366300 is a wasteful number, since it uses less digits than its factorization.

10252366300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 10252366300 in words is "ten billion, two hundred fifty-two million, three hundred sixty-six thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 547 550 605 1094 1100 1210 1549 2188 2420 2735 3025 3098 5470 6017 6050 6196 7745 10940 12034 12100 13675 15490 17039 24068 27350 30085 30980 34078 38725 54700 60170 66187 68156 77450 85195 120340 132374 150425 154900 170390 187429 264748 300850 330935 340780 374858 425975 601700 661870 749716 847303 851950 937145 1323740 1654675 1694606 1703900 1874290 3309350 3389212 3748580 4236515 4685725 6618700 8473030 9320333 9371450 16946060 18640666 18742900 21182575 37281332 42365150 46601665 84730300 93203330 102523663 186406660 205047326 233008325 410094652 466016650 512618315 932033300 1025236630 2050473260 2563091575 5126183150 10252366300