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104410202000 = 24531323174599
BaseRepresentation
bin110000100111101010…
…1010011111110010000
3100222111112012211001112
41201033111103332100
53202313002431000
6115544304552452
710354245034166
oct1411725237620
9328445184045
10104410202000
1140309923145
121829a922728
139acc405220
1450a6a73236
152ab14db235
hex184f553f90

104410202000 has 160 divisors (see below), whose sum is σ = 283706841600. Its totient is φ = 36875097600.

The previous prime is 104410201981. The next prime is 104410202009. The reversal of 104410202000 is 202014401.

It is not an unprimeable number, because it can be changed into a prime (104410202009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510701 + ... + 685299.

It is an arithmetic number, because the mean of its divisors is an integer number (1773167760).

Almost surely, 2104410202000 is an apocalyptic number.

104410202000 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 104410202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141853420800).

104410202000 is an abundant number, since it is smaller than the sum of its proper divisors (179296639600).

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

104410202000 is a wasteful number, since it uses less digits than its factorization.

104410202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174658 (or 174642 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 104410202000 its reverse (202014401), we get a palindrome (104612216401).

The spelling of 104410202000 in words is "one hundred four billion, four hundred ten million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 23 25 26 40 46 50 52 65 80 92 100 104 115 125 130 184 200 208 230 250 260 299 325 368 400 460 500 520 575 598 650 920 1000 1040 1150 1196 1300 1495 1625 1840 2000 2300 2392 2600 2875 2990 3250 4600 4784 5200 5750 5980 6500 7475 9200 11500 11960 13000 14950 23000 23920 26000 29900 37375 46000 59800 74750 119600 149500 174599 299000 349198 598000 698396 872995 1396792 1745990 2269787 2793584 3491980 4015777 4364975 4539574 6983960 8031554 8729950 9079148 11348935 13967920 16063108 17459900 18158296 20078885 21824875 22697870 32126216 34919800 36316592 40157770 43649750 45395740 52205101 56744675 64252432 69839600 80315540 87299500 90791480 100394425 104410202 113489350 160631080 174599000 181582960 200788850 208820404 226978700 261025505 283723375 321262160 349198000 401577700 417640808 453957400 501972125 522051010 567446750 803155400 835281616 907914800 1003944250 1044102020 1134893500 1305127525 1606310800 2007888500 2088204040 2269787000 2610255050 4015777000 4176408080 4539574000 5220510100 6525637625 8031554000 10441020200 13051275250 20882040400 26102550500 52205101000 104410202000