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131003210232 = 23321819489031
BaseRepresentation
bin111101000000001100…
…1100101100111111000
3110112010211122121100100
41322000121211213320
54121243310211412
6140103153235400
712315244625346
oct1720031454770
9415124577310
10131003210232
11506159958a4
1221480862b60
13c479996c5b
1464aa810996
15361ae7aedc
hex1e806659f8

131003210232 has 24 divisors (see below), whose sum is σ = 354800361240. Its totient is φ = 43667736720.

The previous prime is 131003210203. The next prime is 131003210237. The reversal of 131003210232 is 232012300131.

131003210232 is a `hidden beast` number, since 1 + 310 + 0 + 321 + 0 + 2 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×1310032102324 (a number of 46 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003210237) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 909744444 + ... + 909744587.

It is an arithmetic number, because the mean of its divisors is an integer number (14783348385).

Almost surely, 2131003210232 is an apocalyptic number.

131003210232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131003210232 is an abundant number, since it is smaller than the sum of its proper divisors (223797151008).

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

131003210232 is a wasteful number, since it uses less digits than its factorization.

131003210232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819489043 (or 1819489036 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131003210232 its reverse (232012300131), we get a palindrome (363015510363).

The spelling of 131003210232 in words is "one hundred thirty-one billion, three million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1819489031 3638978062 5458467093 7277956124 10916934186 14555912248 16375401279 21833868372 32750802558 43667736744 65501605116 131003210232