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131430042 = 23226327763
BaseRepresentation
bin1111101010101…
…11011010011010
3100011022100010100
413311113122122
5232121230132
621013000230
73154064652
oct765273232
9304270110
10131430042
1168209377
1238023076
13212c9673
1413653362
15b81237c
hex7d5769a

131430042 has 24 divisors (see below), whose sum is σ = 285858144. Its totient is φ = 43641864.

The previous prime is 131430041. The next prime is 131430083. The reversal of 131430042 is 240034131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131429997 and 131430024.

It is not an unprimeable number, because it can be changed into a prime (131430041) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9148 + ... + 18615.

It is an arithmetic number, because the mean of its divisors is an integer number (11910756).

Almost surely, 2131430042 is an apocalyptic number.

131430042 is an abundant number, since it is smaller than the sum of its proper divisors (154428102).

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

131430042 is a wasteful number, since it uses less digits than its factorization.

131430042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28034 (or 28031 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131430042 is about 11464.2942216257. The cubic root of 131430042 is about 508.4304456108.

Adding to 131430042 its reverse (240034131), we get a palindrome (371464173).

The spelling of 131430042 in words is "one hundred thirty-one million, four hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 18 263 526 789 1578 2367 4734 27763 55526 83289 166578 249867 499734 7301669 14603338 21905007 43810014 65715021 131430042