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87121075000 = 235529120167
BaseRepresentation
bin101000100100011010…
…0100001101100111000
322022212121200011110111
41101020310201230320
52411410443400000
6104004534554104
76202640630131
oct1211064415470
9268777604414
1087121075000
1133a47637133
1214a74808934
1382a555006b
144306810c88
1523ed751cba
hex1448d21b38

87121075000 has 96 divisors (see below), whose sum is σ = 211219293600. Its totient is φ = 33646480000.

The previous prime is 87121074983. The next prime is 87121075031. The reversal of 87121075000 is 57012178.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664917 + ... + 785083.

It is an arithmetic number, because the mean of its divisors is an integer number (2200200975).

Almost surely, 287121075000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87121075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105609646800).

87121075000 is an abundant number, since it is smaller than the sum of its proper divisors (124098218600).

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

87121075000 is a wasteful number, since it uses less digits than its factorization.

87121075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120227 (or 120203 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

Adding to 87121075000 its reverse (57012178), we get a palindrome (87178087178).

The spelling of 87121075000 in words is "eighty-seven billion, one hundred twenty-one million, seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 625 725 1000 1160 1250 1450 2500 2900 3125 3625 5000 5800 6250 7250 12500 14500 18125 25000 29000 36250 72500 90625 120167 145000 181250 240334 362500 480668 600835 725000 961336 1201670 2403340 3004175 3484843 4806680 6008350 6969686 12016700 13939372 15020875 17424215 24033400 27878744 30041750 34848430 60083500 69696860 75104375 87121075 120167000 139393720 150208750 174242150 300417500 348484300 375521875 435605375 600835000 696968600 751043750 871210750 1502087500 1742421500 2178026875 3004175000 3484843000 4356053750 8712107500 10890134375 17424215000 21780268750 43560537500 87121075000