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10104127000 = 2353115931549
BaseRepresentation
bin10010110100100000…
…01011111000011000
3222002011200211111221
421122100023320120
5131143124031000
64350342301424
7505250443132
oct113220137030
928064624457
1010104127000
114315575190
121b5ba27874
13c50447596
146bbd0a052
153e20ca61a
hex25a40be18

10104127000 has 128 divisors (see below), whose sum is σ = 25853256000. Its totient is φ = 3665664000.

The previous prime is 10104126997. The next prime is 10104127039. The reversal of 10104127000 is 72140101.

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, 6522226 + ... + 6523774.

Almost surely, 210104127000 is an apocalyptic number.

10104127000 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 10104127000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12926628000).

10104127000 is an abundant number, since it is smaller than the sum of its proper divisors (15749129000).

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

10104127000 is a wasteful number, since it uses less digits than its factorization.

10104127000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 10104127000 its reverse (72140101), we get a palindrome (10176267101).

The spelling of 10104127000 in words is "ten billion, one hundred four million, one hundred twenty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 593 1000 1100 1186 1375 1549 2200 2372 2750 2965 3098 4744 5500 5930 6196 6523 7745 11000 11860 12392 13046 14825 15490 17039 23720 26092 29650 30980 32615 34078 38725 52184 59300 61960 65230 68156 74125 77450 85195 118600 130460 136312 148250 154900 163075 170390 193625 260920 296500 309800 326150 340780 387250 425975 593000 652300 681560 774500 815375 851950 918557 1304600 1549000 1630750 1703900 1837114 2129875 3261500 3407800 3674228 4259750 4592785 6523000 7348456 8519500 9185570 10104127 17039000 18371140 20208254 22963925 36742280 40416508 45927850 50520635 80833016 91855700 101041270 114819625 183711400 202082540 229639250 252603175 404165080 459278500 505206350 918557000 1010412700 1263015875 2020825400 2526031750 5052063500 10104127000