Search a number
-
+
1994715102100 = 2252731379711423
BaseRepresentation
bin11101000001101110010…
…010001111101110010100
321001200201010101012221211
4131001232102033232110
5230140134031231400
64124205351151204
7264053620420330
oct35015622175624
97050633335854
101994715102100
116a9a54744876
1228270a075504
13116140694956
146c78aa2a7c0
1536d4904bdba
hex1d06e48fb94

1994715102100 has 144 divisors (see below), whose sum is σ = 4969359940608. Its totient is φ = 680802370560.

The previous prime is 1994715102047. The next prime is 1994715102131. The reversal of 1994715102100 is 12015174991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174616989 + ... + 174628411.

It is an arithmetic number, because the mean of its divisors is an integer number (34509444032).

Almost surely, 21994715102100 is an apocalyptic number.

1994715102100 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 1994715102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484679970304).

1994715102100 is an abundant number, since it is smaller than the sum of its proper divisors (2974644838508).

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

1994715102100 is a wasteful number, since it uses less digits than its factorization.

1994715102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554 (or 12547 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 40.

The spelling of 1994715102100 in words is "one trillion, nine hundred ninety-four billion, seven hundred fifteen million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 313 350 626 700 797 1252 1565 1594 2191 3130 3188 3985 4382 5579 6260 7825 7970 8764 10955 11158 11423 15650 15940 19925 21910 22316 22846 27895 31300 39850 43820 45692 54775 55790 57115 79700 79961 109550 111580 114230 139475 159922 219100 228460 249461 278950 285575 319844 399805 498922 557900 571150 799610 997844 1142300 1247305 1599220 1746227 1999025 2494610 3492454 3575399 3998050 4989220 6236525 6984908 7150798 7996100 8731135 9104131 12473050 14301596 17462270 17876995 18208262 24946100 25027793 34924540 35753990 36416524 43655675 45520655 50055586 63728917 71507980 87311350 89384975 91041310 100111172 125138965 127457834 174622700 178769950 182082620 227603275 250277930 254915668 318644585 357539900 455206550 500555860 625694825 637289170 910413100 1251389650 1274578340 1593222925 2502779300 2849593003 3186445850 5699186006 6372891700 11398372012 14247965015 19947151021 28495930030 39894302042 56991860060 71239825075 79788604084 99735755105 142479650150 199471510210 284959300300 398943020420 498678775525 997357551050 1994715102100