Search a number
-
+
141132002200 = 23527137735829
BaseRepresentation
bin1000001101110000011…
…1110111001110011000
3111111021201202112211121
42003130013313032120
54303014243032300
6144500220335024
713124245140160
oct2033407671630
9444251675747
10141132002200
1154943377152
12234289a4474
1310402269097
146b8badb5a0
153a102c981a
hex20dc1f7398

141132002200 has 96 divisors (see below), whose sum is σ = 377745688800. Its totient is φ = 48034851840.

The previous prime is 141132002197. The next prime is 141132002213. The reversal of 141132002200 is 2200231141.

141132002200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1411320022003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 176115 + ... + 559714.

It is an arithmetic number, because the mean of its divisors is an integer number (3934850925).

Almost surely, 2141132002200 is an apocalyptic number.

141132002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141132002200 is an abundant number, since it is smaller than the sum of its proper divisors (236613686600).

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

141132002200 is a wasteful number, since it uses less digits than its factorization.

141132002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735989 (or 735980 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 141132002200 its reverse (2200231141), we get a palindrome (143332233341).

The spelling of 141132002200 in words is "one hundred forty-one billion, one hundred thirty-two million, two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 137 140 175 200 274 280 350 548 685 700 959 1096 1370 1400 1918 2740 3425 3836 4795 5480 6850 7672 9590 13700 19180 23975 27400 38360 47950 95900 191800 735829 1471658 2943316 3679145 5150803 5886632 7358290 10301606 14716580 18395725 20603212 25754015 29433160 36791450 41206424 51508030 73582900 100808573 103016060 128770075 147165800 201617146 206032120 257540150 403234292 504042865 515080300 705660011 806468584 1008085730 1030160600 1411320022 2016171460 2520214325 2822640044 3528300055 4032342920 5040428650 5645280088 7056600110 10080857300 14113200220 17641500275 20161714600 28226400440 35283000550 70566001100 141132002200