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131441200 = 24521129873
BaseRepresentation
bin1111101010110…
…10001000110000
3100011022220102121
413311122020300
5232122104300
621013124024
73154142332
oct765321060
9304286377
10131441200
11682167a0
1238029614
1321301777
1413657452
15b81581a
hex7d5a230

131441200 has 60 divisors (see below), whose sum is σ = 344506968. Its totient is φ = 47795200.

The previous prime is 131441117. The next prime is 131441243. The reversal of 131441200 is 2144131.

131441200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10537 + ... + 19336.

Almost surely, 2131441200 is an apocalyptic number.

131441200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131441200 is an abundant number, since it is smaller than the sum of its proper divisors (213065768).

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

131441200 is a wasteful number, since it uses less digits than its factorization.

131441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29902 (or 29891 counting only the distinct ones).

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

The square root of 131441200 is about 11464.7808526810. The cubic root of 131441200 is about 508.4448332558. Note that the first 3 decimals are identical.

Adding to 131441200 its reverse (2144131), we get a palindrome (133585331).

The spelling of 131441200 in words is "one hundred thirty-one million, four hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 29873 59746 119492 149365 238984 298730 328603 477968 597460 657206 746825 1194920 1314412 1493650 1643015 2389840 2628824 2987300 3286030 5257648 5974600 6572060 8215075 11949200 13144120 16430150 26288240 32860300 65720600 131441200