Search a number
-
+
1012221100200 = 2335216310349909
BaseRepresentation
bin11101011101011010001…
…01000100000010101000
310120202201102120122021210
432232231011010002220
5113041012100201300
62053001415033120
7133062532250532
oct16565505040250
93522642518253
101012221100200
1136030a471402
1214421296b7a0
13745b519478b
1436dc557a852
151b4e460d050
hexebad1440a8

1012221100200 has 96 divisors (see below), whose sum is σ = 3157136546400. Its totient is φ = 268269615360.

The previous prime is 1012221100109. The next prime is 1012221100223. The reversal of 1012221100200 is 20011222101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5077155 + ... + 5272754.

It is an arithmetic number, because the mean of its divisors is an integer number (32886839025).

Almost surely, 21012221100200 is an apocalyptic number.

1012221100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012221100200 is an abundant number, since it is smaller than the sum of its proper divisors (2144915446200).

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

1012221100200 is a wasteful number, since it uses less digits than its factorization.

1012221100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10350091 (or 10350082 counting only the distinct ones).

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

Adding to 1012221100200 its reverse (20011222101), we get a palindrome (1032232322301).

The spelling of 1012221100200 in words is "one trillion, twelve billion, two hundred twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 163 200 300 326 489 600 652 815 978 1304 1630 1956 2445 3260 3912 4075 4890 6520 8150 9780 12225 16300 19560 24450 32600 48900 97800 10349909 20699818 31049727 41399636 51749545 62099454 82799272 103499090 124198908 155248635 206998180 248397816 258747725 310497270 413996360 517495450 620994540 776243175 1034990900 1241989080 1552486350 1687035167 2069981800 3104972700 3374070334 5061105501 6209945400 6748140668 8435175835 10122211002 13496281336 16870351670 20244422004 25305527505 33740703340 40488844008 42175879175 50611055010 67481406680 84351758350 101222110020 126527637525 168703516700 202444220040 253055275050 337407033400 506110550100 1012221100200