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103065663000 = 2335347597219
BaseRepresentation
bin101111111111100110…
…0010011011000011000
3100212000211020011021210
41133333030103120120
53142034302204000
6115203034503120
710306030452336
oct1377714233030
9325024204253
10103065663000
113a789975093
1217b84594aa0
1399469a4711
144dba27ab56
152a3344e350
hex17ff313618

103065663000 has 128 divisors (see below), whose sum is σ = 321676992000. Its totient is φ = 27474595200.

The previous prime is 103065662977. The next prime is 103065663011. The reversal of 103065663000 is 366560301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14273391 + ... + 14280609.

It is an arithmetic number, because the mean of its divisors is an integer number (2513101500).

Almost surely, 2103065663000 is an apocalyptic number.

103065663000 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 103065663000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160838496000).

103065663000 is an abundant number, since it is smaller than the sum of its proper divisors (218611329000).

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

103065663000 is a wasteful number, since it uses less digits than its factorization.

103065663000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12002 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The spelling of 103065663000 in words is "one hundred three billion, sixty-five million, six hundred sixty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4759 7219 9518 14277 14438 19036 21657 23795 28554 28876 36095 38072 43314 47590 57108 57752 71385 72190 86628 95180 108285 114216 118975 142770 144380 173256 180475 190360 216570 237950 285540 288760 356925 360950 433140 475900 541425 571080 594875 713850 721900 866280 902375 951800 1082850 1189750 1427700 1443800 1784625 1804750 2165700 2379500 2707125 2855400 3569250 3609500 4331400 4759000 5414250 7138500 7219000 10828500 14277000 21657000 34355221 68710442 103065663 137420884 171776105 206131326 274841768 343552210 412262652 515328315 687104420 824525304 858880525 1030656630 1374208840 1717761050 2061313260 2576641575 3435522100 4122626520 4294402625 5153283150 6871044200 8588805250 10306566300 12883207875 17177610500 20613132600 25766415750 34355221000 51532831500 103065663000