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240103110001300 = 2252713109242063827
BaseRepresentation
bin110110100101111101011100…
…100101001100001010010100
31011111010122002120012211212221
4312211331130211030022110
5222432322132130020200
62210353502422552124
7101400606616051120
oct6645753445141224
91144118076184787
10240103110001300
116a560180136527
1222b19711898644
13a3c881a783420
1443410a41dc580
151cb597606791a
hexda5f5c94c294

240103110001300 has 144 divisors (see below), whose sum is σ = 647143120328320. Its totient is φ = 75291532439040.

The previous prime is 240103110001253. The next prime is 240103110001301. The reversal of 240103110001300 is 3100011301042.

240103110001300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240103110001301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120040014 + ... + 122023813.

Almost surely, 2240103110001300 is an apocalyptic number.

240103110001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240103110001300 is an abundant number, since it is smaller than the sum of its proper divisors (407040010327020).

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

240103110001300 is a wasteful number, since it uses less digits than its factorization.

240103110001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242063970 (or 242063963 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 240103110001300 its reverse (3100011301042), we get a palindrome (243203121302342).

The spelling of 240103110001300 in words is "two hundred forty trillion, one hundred three billion, one hundred ten million, one thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 109 130 140 175 182 218 260 325 350 364 436 455 545 650 700 763 910 1090 1300 1417 1526 1820 2180 2275 2725 2834 3052 3815 4550 5450 5668 7085 7630 9100 9919 10900 14170 15260 19075 19838 28340 35425 38150 39676 49595 70850 76300 99190 141700 198380 247975 495950 991900 242063827 484127654 968255308 1210319135 1694446789 2420638270 3146829751 3388893578 4841276540 6051595675 6293659502 6777787156 8472233945 12103191350 12587319004 15734148755 16944467890 22027808257 24206382700 26384957143 31468297510 33888935780 42361169725 44055616514 52769914286 62936595020 78670743775 84722339450 88111233028 105539828572 110139041285 131924785715 157341487550 169444678900 184694700001 220278082570 263849571430 314682975100 343004442859 369389400002 440556165140 527699142860 550695206425 659623928575 686008885718 738778800004 923473500005 1101390412850 1319247857150 1372017771436 1715022214295 1846947000010 2202780825700 2401031100013 2638495714300 3430044428590 3693894000020 4617367500025 4802062200026 6860088857180 8575111071475 9234735000050 9604124400052 12005155500065 17150222142950 18469470000100 24010311000130 34300444285900 48020622000260 60025777500325 120051555000650 240103110001300