Search a number
-
+
60155210201000 = 23531031785132717
BaseRepresentation
bin11011010110101111110011…
…11011110111011110101000
321212222210010000202122222012
431223113321323313132220
530341040332302413000
6331534531055415052
715446033121036155
oct1553277173673650
9255883100678865
1060155210201000
1118192754a083a2
1268b6596224488
1327747c56a5a05
1410bd75606522c
156e4b95caa735
hex36b5f9ef77a8

60155210201000 has 128 divisors (see below), whose sum is σ = 142142131272960. Its totient is φ = 23826408480000.

The previous prime is 60155210200999. The next prime is 60155210201011. The reversal of 60155210201000 is 10201255106.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838636642 + ... + 1838669358.

It is an arithmetic number, because the mean of its divisors is an integer number (1110485400570).

Almost surely, 260155210201000 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 60155210201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71071065636480).

60155210201000 is an abundant number, since it is smaller than the sum of its proper divisors (81986921071960).

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

60155210201000 is a wasteful number, since it uses less digits than its factorization.

60155210201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50692 (or 50678 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 60155210201000 its reverse (10201255106), we get a palindrome (60165411456106).

The spelling of 60155210201000 in words is "sixty trillion, one hundred fifty-five billion, two hundred ten million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 824 1000 1030 2060 2575 4120 5150 10300 12875 17851 20600 25750 32717 35702 51500 65434 71404 89255 103000 130868 142808 163585 178510 261736 327170 357020 446275 654340 714040 817925 892550 1308680 1635850 1785100 1838653 2231375 3271700 3369851 3570200 3677306 4089625 4462750 6543400 6739702 7354612 8179250 8925500 9193265 13479404 14709224 16358500 16849255 17851000 18386530 26958808 32717000 33698510 36773060 45966325 67397020 73546120 84246275 91932650 134794040 168492550 183865300 229831625 336985100 367730600 421231375 459663250 584031167 673970200 842462750 919326500 1168062334 1684925500 1838653000 2336124668 2920155835 3369851000 4672249336 5840311670 11680623340 14600779175 23361246680 29201558350 58403116700 60155210201 73003895875 116806233400 120310420402 146007791750 240620840804 292015583500 300776051005 481241681608 584031167000 601552102010 1203104204020 1503880255025 2406208408040 3007760510050 6015521020100 7519401275125 12031042040200 15038802550250 30077605100500 60155210201000