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131313132032 = 291571633573
BaseRepresentation
bin111101001001011011…
…1110110001000000000
3110112221102211021010112
41322102313312020000
54122412130211112
6140154024050452
712326030130425
oct1722267661000
9415842737115
10131313132032
1150764926715
1221548603a28
13c4c8c59b34
1464d9a47d4c
153638299a22
hex1e92df6200

131313132032 has 40 divisors (see below), whose sum is σ = 264041099916. Its totient is φ = 65238331392.

The previous prime is 131313132029. The next prime is 131313132047. The reversal of 131313132032 is 230231313131.

It can be written as a sum of positive squares in 2 ways, for example, as 121784248576 + 9528883456 = 348976^2 + 97616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131313131989 and 131313132007.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 736403 + ... + 897170.

Almost surely, 2131313132032 is an apocalyptic number.

It is an amenable number.

131313132032 is an abundant number, since it is smaller than the sum of its proper divisors (132727967884).

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

131313132032 is an equidigital number, since it uses as much as digits as its factorization.

131313132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633748 (or 1633732 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 131313132032 its reverse (230231313131), we get a palindrome (361544445163).

The spelling of 131313132032 in words is "one hundred thirty-one billion, three hundred thirteen million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 512 628 1256 2512 5024 10048 20096 40192 80384 1633573 3267146 6534292 13068584 26137168 52274336 104548672 209097344 256470961 418194688 512941922 836389376 1025883844 2051767688 4103535376 8207070752 16414141504 32828283008 65656566016 131313132032