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131424210 = 23251460269
BaseRepresentation
bin1111101010101…
…01111111010010
3100011022001010100
413311111333102
5232121033320
621012513230
73154041651
oct765257722
9304261110
10131424210
1168204a55
123801b816
13212c6b08
1413651198
15b810790
hex7d55fd2

131424210 has 24 divisors (see below), whose sum is σ = 341703180. Its totient is φ = 35046432.

The previous prime is 131424203. The next prime is 131424217. The reversal of 131424210 is 12424131.

131424210 is a `hidden beast` number, since 1 + 31 + 424 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (131424203) and next prime (131424217).

It can be written as a sum of positive squares in 2 ways, for example, as 117874449 + 13549761 = 10857^2 + 3681^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131424217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730045 + ... + 730224.

Almost surely, 2131424210 is an apocalyptic number.

131424210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131424210 is an abundant number, since it is smaller than the sum of its proper divisors (210278970).

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

131424210 is a wasteful number, since it uses less digits than its factorization.

131424210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460282 (or 1460279 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131424210 is about 11464.0398638525. The cubic root of 131424210 is about 508.4229252342.

Adding to 131424210 its reverse (12424131), we get a palindrome (143848341).

The spelling of 131424210 in words is "one hundred thirty-one million, four hundred twenty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1460269 2920538 4380807 7301345 8761614 13142421 14602690 21904035 26284842 43808070 65712105 131424210