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10243220031044 = 227211132811300583
BaseRepresentation
bin1001010100001110111101…
…1111011100011001000100
31100021020112121122000000022
42111003233133130121010
52320311103311443134
633441400442234312
72105022353450600
oct225035737343104
940236477560008
1010243220031044
11329a141738240
1211952557b5998
13593c15690060
14275abb2dc500
1512b6b290752e
hex950ef7dc644

10243220031044 has 144 divisors (see below), whose sum is σ = 24584970566016. Its totient is φ = 3670762636800.

The previous prime is 10243220031043. The next prime is 10243220031053. The reversal of 10243220031044 is 44013002234201.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (10243220031043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7225577 + ... + 8526159.

It is an arithmetic number, because the mean of its divisors is an integer number (170728962264).

Almost surely, 210243220031044 is an apocalyptic number.

10243220031044 is a gapful number since it is divisible by the number (14) 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 10243220031044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292485283008).

10243220031044 is an abundant number, since it is smaller than the sum of its proper divisors (14341750534972).

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

10243220031044 is a wasteful number, since it uses less digits than its factorization.

10243220031044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300906 (or 1300897 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10243220031044 its reverse (44013002234201), we get a palindrome (54256222265245).

The spelling of 10243220031044 in words is "ten trillion, two hundred forty-three billion, two hundred twenty million, thirty-one thousand, forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 281 286 308 364 539 562 572 637 1001 1078 1124 1274 1967 2002 2156 2548 3091 3653 3934 4004 6182 7007 7306 7868 12364 13769 14014 14612 21637 25571 27538 28028 40183 43274 51142 55076 80366 86548 102284 151459 160732 178997 281281 302918 357994 562562 605836 715988 1125124 1300583 1968967 2601166 3937934 5202332 7875868 9104081 14306413 16907579 18208162 28612826 33815158 36416324 57225652 63728567 67630316 100144891 118353053 127457134 185983369 200289782 236706106 254914268 365463823 371966738 400579564 473412212 701014237 730927646 743933476 828471371 1301883583 1402028474 1461855292 1656942742 2558246761 2603767166 2804056948 3313885484 4020102053 4751029699 5116493522 5207534332 8040204106 9113185081 9502059398 10232987044 16080408212 17907727327 18226370162 19004118796 28140714371 33257207893 35815454654 36452740324 52261326689 56281428742 66514415786 71630909308 104522653378 112562857484 133028831572 196985000597 209045306756 232800455251 365829286823 393970001194 465600910502 731658573646 787940002388 931201821004 1463317147292 2560805007761 5121610015522 10243220031044