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103405366642 = 217192919927737
BaseRepresentation
bin110000001001101110…
…0001010110101110010
3100212220111102220002011
41200103130022311302
53143233233213032
6115300451513134
710320324054064
oct1402334126562
9325814386064
10103405366642
113a9436a74a6
121805a2b87aa
13999c1941a6
14500d427734
152a531a2247
hex181370ad72

103405366642 has 64 divisors (see below), whose sum is σ = 179742240000. Its totient is φ = 44285294592.

The previous prime is 103405366621. The next prime is 103405366679. The reversal of 103405366642 is 246663504301.

It is a happy number.

103405366642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 103405366595 and 103405366604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3714198 + ... + 3741934.

It is an arithmetic number, because the mean of its divisors is an integer number (2808472500).

Almost surely, 2103405366642 is an apocalyptic number.

103405366642 is a deficient number, since it is larger than the sum of its proper divisors (76336873358).

103405366642 is a wasteful number, since it uses less digits than its factorization.

103405366642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28003.

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 103405366642 in words is "one hundred three billion, four hundred five million, three hundred sixty-six thousand, six hundred forty-two".

Divisors: 1 2 17 19 29 34 38 58 199 323 398 493 551 646 986 1102 3383 3781 5771 6766 7562 9367 11542 18734 27737 55474 64277 98107 109649 128554 196214 219298 471529 527003 804373 943058 1054006 1608746 1864033 3728066 5519663 8959051 11039326 13674341 15283087 17918102 27348682 30566174 93834271 104873597 160070227 187668542 209747194 259812479 320140454 519624958 1782851149 2721193859 3041334313 3565702298 5442387718 6082668626 51702683321 103405366642