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103093655720 = 235111971173687
BaseRepresentation
bin110000000000011011…
…1000101100010101000
3100212002202220100002012
41200000313011202220
53142113433440340
6115205514455052
710306520420636
oct1400067054250
9325082810065
10103093655720
113a7a3754470
1217b91a34488
13994c725b63
144dbdc86356
152a35b2d565
hex1800dc58a8

103093655720 has 128 divisors (see below), whose sum is σ = 270119577600. Its totient is φ = 35015097600.

The previous prime is 103093655683. The next prime is 103093655759. The reversal of 103093655720 is 27556390301.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506717 + ... + 680403.

It is an arithmetic number, because the mean of its divisors is an integer number (2110309200).

Almost surely, 2103093655720 is an apocalyptic number.

103093655720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103093655720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135059788800).

103093655720 is an abundant number, since it is smaller than the sum of its proper divisors (167025921880).

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

103093655720 is a wasteful number, since it uses less digits than its factorization.

103093655720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173799 (or 173795 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 41.

The spelling of 103093655720 in words is "one hundred three billion, ninety-three million, six hundred fifty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 71 76 88 95 110 142 152 190 209 220 284 355 380 418 440 568 710 760 781 836 1045 1349 1420 1562 1672 2090 2698 2840 3124 3905 4180 5396 6248 6745 7810 8360 10792 13490 14839 15620 26980 29678 31240 53960 59356 74195 118712 148390 173687 296780 347374 593560 694748 868435 1389496 1736870 1910557 3300053 3473740 3821114 6600106 6947480 7642228 9552785 12331777 13200212 15284456 16500265 19105570 24663554 26400424 33000530 36300583 38211140 49327108 61658885 66001060 72601166 76422280 98654216 123317770 132002120 135649547 145202332 181502915 234303763 246635540 271299094 290404664 363005830 468607526 493271080 542598188 678247735 726011660 937215052 1085196376 1171518815 1356495470 1452023320 1874430104 2343037630 2577341393 2712990940 4686075260 5154682786 5425981880 9372150520 10309365572 12886706965 20618731144 25773413930 51546827860 103093655720