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131131000328 = 23291217464437
BaseRepresentation
bin111101000100000000…
…1000100011000001000
3110112110202010000101212
41322020001010120020
54122024014002303
6140124000232252
712321356053256
oct1721001043010
9415422100355
10131131000328
1150681038449
12214b760b688
13c49a2ba8b3
1464bd7975d6
1536272bead8
hex1e88044608

131131000328 has 32 divisors (see below), whose sum is σ = 254558467800. Its totient is φ = 63252467712.

The previous prime is 131131000327. The next prime is 131131000331. The reversal of 131131000328 is 823000131131.

It can be written as a sum of positive squares in 4 ways, for example, as 129558243364 + 1572756964 = 359942^2 + 39658^2 .

It is a super-2 number, since 2×1311310003282 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131131000327) 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, 50126 + ... + 514562.

Almost surely, 2131131000328 is an apocalyptic number.

It is an amenable number.

131131000328 is a deficient number, since it is larger than the sum of its proper divisors (123427467472).

131131000328 is a wasteful number, since it uses less digits than its factorization.

131131000328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465689 (or 465685 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 131131000328 its reverse (823000131131), we get a palindrome (954131131459).

The spelling of 131131000328 in words is "one hundred thirty-one billion, one hundred thirty-one million, three hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 29 58 116 232 1217 2434 4868 9736 35293 70586 141172 282344 464437 928874 1857748 3715496 13468673 26937346 53874692 107749384 565219829 1130439658 2260879316 4521758632 16391375041 32782750082 65565500164 131131000328