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103344053288 = 237461193457
BaseRepresentation
bin110000000111111001…
…0010001110000101000
3100212202020001211222012
41200033302101300220
53143122034201123
6115250421415052
710315650650000
oct1401762216050
9325666054865
10103344053288
113a912029903
121804186a488
13998c5774b8
145005227000
152a4cae0378
hex180fc91c28

103344053288 has 160 divisors (see below), whose sum is σ = 231453240360. Its totient is φ = 43243683840.

The previous prime is 103344053249. The next prime is 103344053297. The reversal of 103344053288 is 882350443301.

It can be written as a sum of positive squares in 4 ways, for example, as 67902978724 + 35441074564 = 260582^2 + 188258^2 .

It is a super-2 number, since 2×1033440532882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 226135556 + ... + 226136012.

Almost surely, 2103344053288 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 103344053288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115726620180).

103344053288 is an abundant number, since it is smaller than the sum of its proper divisors (128109187072).

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

103344053288 is an equidigital number, since it uses as much as digits as its factorization.

103344053288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

Adding to 103344053288 its reverse (882350443301), we get a palindrome (985694496589).

The spelling of 103344053288 in words is "one hundred three billion, three hundred forty-four million, fifty-three thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 193 196 244 343 386 392 427 457 488 686 772 854 914 1351 1372 1544 1708 1828 2401 2702 2744 2989 3199 3416 3656 4802 5404 5978 6398 9457 9604 10808 11773 11956 12796 18914 19208 20923 22393 23546 23912 25592 27877 37828 41846 44786 47092 55754 66199 75656 82411 83692 88201 89572 94184 111508 132398 146461 156751 164822 167384 176402 179144 195139 223016 264796 292922 313502 329644 352804 390278 463393 529592 576877 585844 617407 627004 659288 705608 780556 926786 1097257 1153754 1171688 1234814 1254008 1365973 1561112 1853572 2194514 2307508 2469628 2731946 3707144 4038139 4321849 4389028 4615016 4939256 5380261 5463892 8076278 8643698 8778056 9561811 10760522 10927784 16152556 17287396 19123622 21521044 28266973 30252943 32305112 34574792 37661827 38247244 43042088 56533946 60505886 66932677 75323654 76494488 113067892 121011772 133865354 150647308 211770601 226135784 242023544 263632789 267730708 301294616 423541202 527265578 535461416 847082404 1054531156 1694164808 1845429523 2109062312 3690859046 7381718092 12918006661 14763436184 25836013322 51672026644 103344053288