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10240251300 = 22325212789591
BaseRepresentation
bin10011000100101110…
…11101010110100100
3222102122211122221200
421202113131112210
5131433001020200
64412044042500
7511522462026
oct114227352644
928378748850
1010240251300
11438539a404
121b99533430
13c726c87c6
146d2022016
153ee018800
hex2625dd5a4

10240251300 has 108 divisors (see below), whose sum is σ = 32350596096. Its totient is φ = 2709201600.

The previous prime is 10240251293. The next prime is 10240251341. The reversal of 10240251300 is 315204201.

10240251300 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 (18).

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, 69505 + ... + 159095.

Almost surely, 210240251300 is an apocalyptic number.

10240251300 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 10240251300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16175298048).

10240251300 is an abundant number, since it is smaller than the sum of its proper divisors (22110344796).

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

10240251300 is a wasteful number, since it uses less digits than its factorization.

10240251300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89738 (or 89728 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10240251300 its reverse (315204201), we get a palindrome (10555455501).

The spelling of 10240251300 in words is "ten billion, two hundred forty million, two hundred fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 127 150 180 225 254 300 381 450 508 635 762 900 1143 1270 1524 1905 2286 2540 3175 3810 4572 5715 6350 7620 9525 11430 12700 19050 22860 28575 38100 57150 89591 114300 179182 268773 358364 447955 537546 806319 895910 1075092 1343865 1612638 1791820 2239775 2687730 3225276 4031595 4479550 5375460 6719325 8063190 8959100 11378057 13438650 16126380 20157975 22756114 26877300 34134171 40315950 45512228 56890285 68268342 80631900 102402513 113780570 136536684 170670855 204805026 227561140 284451425 341341710 409610052 512012565 568902850 682683420 853354275 1024025130 1137805700 1706708550 2048050260 2560062825 3413417100 5120125650 10240251300