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103253064024 = 233113715976619
BaseRepresentation
bin110000000101001011…
…1001011100101011000
3100212111212212010011110
41200022113023211120
53142430241022044
6115233411300320
710313464364115
oct1401227134530
9325455763143
10103253064024
113a875732270
12180172aa6a0
13997676a1b6
144dd70dd90c
152a44b1a6b9
hex180a5cb958

103253064024 has 128 divisors (see below), whose sum is σ = 289434873600. Its totient is φ = 30419504640.

The previous prime is 103253064011. The next prime is 103253064091. The reversal of 103253064024 is 420460352301.

It is a super-2 number, since 2×1032530640242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103253063982 and 103253064000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15596187 + ... + 15602805.

It is an arithmetic number, because the mean of its divisors is an integer number (2261209950).

Almost surely, 2103253064024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103253064024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144717436800).

103253064024 is an abundant number, since it is smaller than the sum of its proper divisors (186181809576).

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

103253064024 is a wasteful number, since it uses less digits than its factorization.

103253064024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 103253064024 in words is "one hundred three billion, two hundred fifty-three million, sixty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1597 1628 2442 3194 3256 4791 4884 6388 6619 9582 9768 12776 13238 17567 19164 19857 26476 35134 38328 39714 52701 52952 59089 70268 72809 79428 105402 118178 140536 145618 158856 177267 210804 218427 236356 244903 291236 354534 421608 436854 472712 489806 582472 649979 709068 734709 873708 979612 1299958 1418136 1469418 1747416 1949937 1959224 2599916 2693933 2938836 3899874 5199832 5387866 5877672 7799748 8081799 10570543 10775732 15599496 16163598 21141086 21551464 31711629 32327196 42282172 63423258 64654392 84564344 116275973 126846516 232551946 253693032 348827919 391110091 465103892 697655838 782220182 930207784 1173330273 1395311676 1564440364 2346660546 2790623352 3128880728 4302211001 4693321092 8604422002 9386642184 12906633003 17208844004 25813266006 34417688008 51626532012 103253064024