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131200010123 = 7213641321319
BaseRepresentation
bin111101000110000100…
…0010100011110001011
3110112122112222002001012
41322030020110132023
54122144200310443
6140134503314135
712323154454100
oct1721410243613
9415575862035
10131200010123
1150706a92536
122151674b94b
13c4ab6a07b0
1464c89dcaa7
15362d3a2118
hex1e8c21478b

131200010123 has 24 divisors (see below), whose sum is σ = 164617377120. Its totient is φ = 103644334080.

The previous prime is 131200010111. The next prime is 131200010173. The reversal of 131200010123 is 321010002131.

It is not a de Polignac number, because 131200010123 - 24 = 131200010107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131200010098 and 131200010107.

It is not an unprimeable number, because it can be changed into a prime (131200010173) 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 23 ways as a sum of consecutive naturals, for example, 247658 + ... + 568976.

It is an arithmetic number, because the mean of its divisors is an integer number (6859057380).

Almost surely, 2131200010123 is an apocalyptic number.

131200010123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131200010123 is a deficient number, since it is larger than the sum of its proper divisors (33417366997).

131200010123 is a wasteful number, since it uses less digits than its factorization.

131200010123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321987 (or 321980 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 131200010123 its reverse (321010002131), we get a palindrome (452210012254).

The spelling of 131200010123 in words is "one hundred thirty-one billion, two hundred million, ten thousand, one hundred twenty-three".

Divisors: 1 7 13 49 91 637 641 4487 8333 31409 58331 321319 408317 2249233 4177147 15744631 29240029 204680203 205965479 1441758353 2677551227 10092308471 18742858589 131200010123