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1345256226105 = 3511232816012099
BaseRepresentation
bin10011100100110111100…
…001001111110100111001
311202121100012220221102120
4103210313201033310321
5134020041043213410
62510000245351453
7166122463152501
oct23446741176471
94677305827376
101345256226105
1147957a083750
12198877708589
1399b1b11ab5c
1449179c74a01
1524ed70c7570
hex1393784fd39

1345256226105 has 128 divisors (see below), whose sum is σ = 2464158412800. Its totient is φ = 620336640000.

The previous prime is 1345256226103. The next prime is 1345256226143. The reversal of 1345256226105 is 5016226525431.

It is not a de Polignac number, because 1345256226105 - 21 = 1345256226103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1345256226103) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 640902346 + ... + 640904444.

It is an arithmetic number, because the mean of its divisors is an integer number (19251237600).

Almost surely, 21345256226105 is an apocalyptic number.

1345256226105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1345256226105 is a deficient number, since it is larger than the sum of its proper divisors (1118902186695).

1345256226105 is a wasteful number, since it uses less digits than its factorization.

1345256226105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023.

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 1345256226105 in words is "one trillion, three hundred forty-five billion, two hundred fifty-six million, two hundred twenty-six thousand, one hundred five".

Divisors: 1 3 5 11 15 23 33 55 69 115 165 253 281 345 601 759 843 1265 1405 1803 2099 3005 3091 3795 4215 6297 6463 6611 9015 9273 10495 13823 15455 19389 19833 23089 31485 32315 33055 41469 46365 48277 69115 69267 71093 96945 99165 115445 144831 152053 168881 207345 213279 241385 346335 355465 456159 506643 531047 589819 724155 760265 844405 1066395 1261499 1593141 1769457 1857691 2280795 2533215 2655235 2949095 3784497 3884263 5573073 6307495 6488009 7965705 8847285 9288455 11652789 13565837 13876489 18922485 19421315 19464027 27865365 29014477 32440045 40697511 41629467 42726893 58263945 67829185 69382445 87043431 97320135 128180679 145072385 149224207 203487555 208147335 213634465 319159247 354481219 435217155 447672621 640903395 746121035 957477741 1063443657 1595796235 1772406095 2238363105 3899293409 4787388705 5317218285 8153068037 11697880227 19496467045 24459204111 40765340185 58489401135 89683748407 122296020555 269051245221 448418742035 1345256226105