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103123332504240 = 24353151132710867
BaseRepresentation
bin10111011100101001000101…
…100110100001101010110000
3111112010111100100110011122020
4113130221011212201222300
5102004033041110113430
61003154112133511440
730502262212322466
oct2734510546415260
9445114310404566
10103123332504240
112a9493a5862804
12b695bab4a2580
1345706473b32b9
141b672a588c836
15bdc71b83cb10
hex5dca459a1ab0

103123332504240 has 160 divisors (see below), whose sum is σ = 330059326089216. Its totient is φ = 26607258224640.

The previous prime is 103123332504173. The next prime is 103123332504253. The reversal of 103123332504240 is 42405233321301.

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, 36685287 + ... + 39396153.

Almost surely, 2103123332504240 is an apocalyptic number.

103123332504240 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 103123332504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165029663044608).

103123332504240 is an abundant number, since it is smaller than the sum of its proper divisors (226935993584976).

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

103123332504240 is a wasteful number, since it uses less digits than its factorization.

103123332504240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716027 (or 2716021 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 103123332504240 its reverse (42405233321301), we get a palindrome (145528565825541).

The spelling of 103123332504240 in words is "one hundred three trillion, one hundred twenty-three billion, three hundred thirty-two million, five hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 5113 7440 10226 15339 20452 25565 30678 40904 51130 61356 76695 81808 102260 122712 153390 158503 204520 245424 306780 317006 409040 475509 613560 634012 792515 951018 1227120 1268024 1585030 1902036 2377545 2536048 2710867 3170060 3804072 4755090 5421734 6340120 7608144 8132601 9510180 10843468 12680240 13554335 16265202 19020360 21686936 27108670 32530404 38040720 40663005 43373872 54217340 65060808 81326010 84036877 108434680 130121616 162652020 168073754 216869360 252110631 325304040 336147508 420184385 504221262 650608080 672295016 840368770 1008442524 1260553155 1344590032 1680737540 2016885048 2521106310 3361475080 4033770096 5042212620 6722950160 10084425240 13860662971 20168850480 27721325942 41581988913 55442651884 69303314855 83163977826 110885303768 138606629710 166327955652 207909944565 221770607536 277213259420 332655911304 415819889130 429680552101 554426518840 665311822608 831639778260 859361104202 1108853037680 1289041656303 1663279556520 1718722208404 2148402760505 2578083312606 3326559113040 3437444416808 4296805521010 5156166625212 6445208281515 6874888833616 8593611042020 10312333250424 12890416563030 17187222084040 20624666500848 25780833126060 34374444168080 51561666252120 103123332504240