Search a number
-
+
103781034230328 = 233271315839596189
BaseRepresentation
bin10111100110001101100111…
…101011100000001000111000
3111121110100222201021121202200
4113212031213223200020320
5102100322024230332303
61004420203212230200
730600634526623260
oct2746154753401070
9447410881247680
10103781034230328
1130082320291134
12b78156246b360
1345ba6815ab3a0
141b8b0592867a0
15bee8b227d3a3
hex5e6367ae0238

103781034230328 has 96 divisors (see below), whose sum is σ = 345936780789600. Its totient is φ = 27370822212864.

The previous prime is 103781034230309. The next prime is 103781034230339. The reversal of 103781034230328 is 823032430187301.

It is a happy number.

103781034230328 is a `hidden beast` number, since 1 + 0 + 378 + 10 + 3 + 4 + 230 + 32 + 8 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7919791543 + ... + 7919804646.

It is an arithmetic number, because the mean of its divisors is an integer number (3603508133225).

Almost surely, 2103781034230328 is an apocalyptic number.

103781034230328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103781034230328 is an abundant number, since it is smaller than the sum of its proper divisors (242155746559272).

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

103781034230328 is a wasteful number, since it uses less digits than its factorization.

103781034230328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15839596221 (or 15839596214 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 103781034230328 in words is "one hundred three trillion, seven hundred eighty-one billion, thirty-four million, two hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 15839596189 31679192378 47518788567 63358384756 95037577134 110877173323 126716769512 142556365701 190075154268 205914750457 221754346646 285112731402 332631519969 380150308536 411829500914 443508693292 570225462804 617744251371 665263039938 823659001828 887017386584 997894559907 1140450925608 1235488502742 1330526079876 1441403253199 1647318003656 1853232754113 1995789119814 2470977005484 2661052159752 2882806506398 3706465508226 3991578239628 4324209759597 4941954010968 5765613012796 7412931016452 7983156479256 8648419519194 11531226025592 12972629278791 14825862032904 17296839038388 25945258557582 34593678076776 51890517115164 103781034230328