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131203123000 = 2353373351751
BaseRepresentation
bin111101000110001010…
…0001100011100111000
3110112122202211020002221
41322030110030130320
54122200444414000
6140135054133424
712323223100405
oct1721424143470
9415582736087
10131203123000
1150708819264
12215177b1274
13c4ac220631
1464c91ad2ac
15362d7b961a
hex1e8c50c738

131203123000 has 64 divisors (see below), whose sum is σ = 307839280320. Its totient is φ = 52340400000.

The previous prime is 131203122997. The next prime is 131203123001. The reversal of 131203123000 is 321302131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131203123001) 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 15 ways as a sum of consecutive naturals, for example, 197125 + ... + 548875.

It is an arithmetic number, because the mean of its divisors is an integer number (4809988755).

Almost surely, 2131203123000 is an apocalyptic number.

131203123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131203123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153919640160).

131203123000 is an abundant number, since it is smaller than the sum of its proper divisors (176636157320).

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

131203123000 is a wasteful number, since it uses less digits than its factorization.

131203123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352145 (or 352131 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 131203123000 its reverse (321302131), we get a palindrome (131524425131).

The spelling of 131203123000 in words is "one hundred thirty-one billion, two hundred three million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 373 500 746 1000 1492 1865 2984 3730 7460 9325 14920 18650 37300 46625 74600 93250 186500 351751 373000 703502 1407004 1758755 2814008 3517510 7035020 8793775 14070040 17587550 35175100 43968875 70350200 87937750 131203123 175875500 262406246 351751000 524812492 656015615 1049624984 1312031230 2624062460 3280078075 5248124920 6560156150 13120312300 16400390375 26240624600 32800780750 65601561500 131203123000