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240103110313120 = 2551725192541313
BaseRepresentation
bin110110100101111101011100…
…100110011000010010100000
31011111010122002120210200121211
4312211331130212120102200
5222432322132220004440
62210353502433355504
7101400606621520165
oct6645753446302240
91144118076720554
10240103110313120
116a56018032982a
1222b19711a08b94
13a3c881a862332
1443410a428006c
151cb59760c9eea
hexda5f5c9984a0

240103110313120 has 72 divisors (see below), whose sum is σ = 602573649324444. Its totient is φ = 90391759159296.

The previous prime is 240103110313081. The next prime is 240103110313201. The reversal of 240103110313120 is 21313011301042.

It can be written as a sum of positive squares in 6 ways, for example, as 231021638764816 + 9081471548304 = 15199396^2 + 3013548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 240103110313091 and 240103110313100.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2596224417 + ... + 2596316896.

Almost surely, 2240103110313120 is an apocalyptic number.

240103110313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240103110313120 is an abundant number, since it is smaller than the sum of its proper divisors (362470539011324).

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

240103110313120 is a wasteful number, since it uses less digits than its factorization.

240103110313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192541362 (or 5192541337 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 240103110313120 its reverse (21313011301042), we get a palindrome (261416121614162).

The spelling of 240103110313120 in words is "two hundred forty trillion, one hundred three billion, one hundred ten million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 1156 1360 1445 2312 2720 2890 4624 5780 9248 11560 23120 46240 5192541313 10385082626 20770165252 25962706565 41540330504 51925413130 83080661008 88273202321 103850826260 166161322016 176546404642 207701652520 353092809284 415403305040 441366011605 706185618568 830806610080 882732023210 1412371237136 1500644439457 1765464046420 2824742474272 3001288878914 3530928092840 6002577757828 7061856185680 7503222197285 12005155515656 14123712371360 15006444394570 24010311031312 30012888789140 48020622062624 60025777578280 120051555156560 240103110313120