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141131232200 = 23527569177167
BaseRepresentation
bin1000001101110000010…
…0111011001111001000
3111111021200022102121002
42003130010323033020
54303014043412300
6144500152034132
713124235452240
oct2033404731710
9444250272532
10141131232200
11549429a0692
1223428692948
131040205976a
146b8b97ab20
153a101c65d5
hex20dc13b3c8

141131232200 has 96 divisors (see below), whose sum is σ = 375667027200. Its totient is φ = 48302538240.

The previous prime is 141131232181. The next prime is 141131232211. The reversal of 141131232200 is 2232131141.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 708017 + ... + 885183.

It is an arithmetic number, because the mean of its divisors is an integer number (3913198200).

Almost surely, 2141131232200 is an apocalyptic number.

141131232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141131232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187833513600).

141131232200 is an abundant number, since it is smaller than the sum of its proper divisors (234535795000).

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

141131232200 is a wasteful number, since it uses less digits than its factorization.

141131232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177759 (or 177750 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 141131232200 its reverse (2232131141), we get a palindrome (143363363341).

The spelling of 141131232200 in words is "one hundred forty-one billion, one hundred thirty-one million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 569 700 1138 1400 2276 2845 3983 4552 5690 7966 11380 14225 15932 19915 22760 28450 31864 39830 56900 79660 99575 113800 159320 177167 199150 354334 398300 708668 796600 885835 1240169 1417336 1771670 2480338 3543340 4429175 4960676 6200845 7086680 8858350 9921352 12401690 17716700 24803380 31004225 35433400 49606760 62008450 100808023 124016900 201616046 248033800 403232092 504040115 705656161 806464184 1008080230 1411312322 2016160460 2520200575 2822624644 3528280805 4032320920 5040401150 5645249288 7056561610 10080802300 14113123220 17641404025 20161604600 28226246440 35282808050 70565616100 141131232200