Search a number
-
+
201000211200120 = 23355928389860339
BaseRepresentation
bin101101101100111100000010…
…001100000011100001111000
3222100200102200022110120011010
4231230330002030003201320
5202321141413031400440
61551254120002433520
760223533416246403
oct5554740214034170
9870612608416133
10201000211200120
1159054790180aa2
121a6632300628a0
1388203142338b7
14378c668126d3a
151838724123580
hexb6cf02303878

201000211200120 has 64 divisors (see below), whose sum is σ = 613220983344000. Its totient is φ = 52691580787328.

The previous prime is 201000211200043. The next prime is 201000211200149. The reversal of 201000211200120 is 21002112000102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201000211200096 and 201000211200105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14194923090 + ... + 14194937249.

It is an arithmetic number, because the mean of its divisors is an integer number (9581577864750).

Almost surely, 2201000211200120 is an apocalyptic number.

201000211200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000211200120 is an abundant number, since it is smaller than the sum of its proper divisors (412220772143880).

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

201000211200120 is a wasteful number, since it uses less digits than its factorization.

201000211200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28389860412 (or 28389860408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201000211200120 its reverse (21002112000102), we get a palindrome (222002323200222).

The spelling of 201000211200120 in words is "two hundred one trillion, two hundred eleven million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 28389860339 56779720678 85169581017 113559441356 141949301695 170339162034 227118882712 283898603390 340678324068 425847905085 567797206780 681356648136 851695810170 1135594413560 1675001760001 1703391620340 3350003520002 3406783240680 5025005280003 6700007040004 8375008800005 10050010560006 13400014080008 16750017600010 20100021120012 25125026400015 33500035200020 40200042240024 50250052800030 67000070400040 100500105600060 201000211200120