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131345024 = 2719531019
BaseRepresentation
bin1111101010000…
…10101010000000
3100011011000111112
413311002222000
5232111020044
621011102452
73153262046
oct765025200
9304130445
10131345024
1168160508
1237ba1a28
1321299a65
1413630396
15b7e709e
hex7d42a80

131345024 has 64 divisors (see below), whose sum is σ = 280908000. Its totient is φ = 60982272.

The previous prime is 131344987. The next prime is 131345029. The reversal of 131345024 is 420543131.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (131345029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128387 + ... + 129405.

Almost surely, 2131345024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140454000).

131345024 is an abundant number, since it is smaller than the sum of its proper divisors (149562976).

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

131345024 is a wasteful number, since it uses less digits than its factorization.

131345024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 131345024 is about 11460.5856743885. The cubic root of 131345024 is about 508.3207926913.

Adding to 131345024 its reverse (420543131), we get a palindrome (551888155).

The spelling of 131345024 in words is "one hundred thirty-one million, three hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 128 152 212 304 424 608 848 1007 1019 1216 1696 2014 2038 2432 3392 4028 4076 6784 8056 8152 16112 16304 19361 32224 32608 38722 54007 64448 65216 77444 108014 128896 130432 154888 216028 309776 432056 619552 864112 1026133 1239104 1728224 2052266 2478208 3456448 4104532 6912896 8209064 16418128 32836256 65672512 131345024