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10442303250 = 235373892143
BaseRepresentation
bin10011011100110100…
…01110011100010010
3222221202000222010020
421232122032130102
5132341212201000
64444102444310
7516525053541
oct115632163422
928852028106
1010442303250
114479453a95
122035133696
13ca5520a82
14710bba158
15411b2aba0
hex26e68e712

10442303250 has 128 divisors (see below), whose sum is σ = 26730362880. Its totient is φ = 2714342400.

The previous prime is 10442303213. The next prime is 10442303257. The reversal of 10442303250 is 5230324401.

10442303250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×104423032504 (a number of 41 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10442303250.

It is not an unprimeable number, because it can be changed into a prime (10442303257) 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 63 ways as a sum of consecutive naturals, for example, 4871679 + ... + 4873821.

It is an arithmetic number, because the mean of its divisors is an integer number (208830960).

Almost surely, 210442303250 is an apocalyptic number.

10442303250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442303250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13365181440).

10442303250 is an abundant number, since it is smaller than the sum of its proper divisors (16288059630).

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

10442303250 is a wasteful number, since it uses less digits than its factorization.

10442303250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 10442303250 its reverse (5230324401), we get a palindrome (15672627651).

The spelling of 10442303250 in words is "ten billion, four hundred forty-two million, three hundred three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 73 75 89 125 146 150 178 219 250 267 365 375 438 445 534 730 750 890 1095 1335 1825 2143 2190 2225 2670 3650 4286 4450 5475 6429 6497 6675 9125 10715 10950 11125 12858 12994 13350 18250 19491 21430 22250 27375 32145 32485 33375 38982 53575 54750 64290 64970 66750 97455 107150 156439 160725 162425 190727 194910 267875 312878 321450 324850 381454 469317 487275 535750 572181 782195 803625 812125 938634 953635 974550 1144362 1564390 1607250 1624250 1907270 2346585 2436375 2860905 3910975 4693170 4768175 4872750 5721810 7821950 9536350 11732925 13923071 14304525 19554875 23465850 23840875 27846142 28609050 39109750 41769213 47681750 58664625 69615355 71522625 83538426 117329250 139230710 143045250 208846065 348076775 417692130 696153550 1044230325 1740383875 2088460650 3480767750 5221151625 10442303250