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131200213000 = 2353419313127
BaseRepresentation
bin111101000110000100…
…1000110000000001000
3110112122120100101100011
41322030021012000020
54122144223304000
6140134511521304
712323156260423
oct1721411060010
9415576311304
10131200213000
11507071109aa
1221516829234
13c4ab741c3c
1464c8a529ba
15362d3e22ba
hex1e8c246008

131200213000 has 64 divisors (see below), whose sum is σ = 307742198400. Its totient is φ = 52354667200.

The previous prime is 131200212977. The next prime is 131200213007. The reversal of 131200213000 is 312002131.

It is not an unprimeable number, because it can be changed into a prime (131200213007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262437 + ... + 575563.

It is an arithmetic number, because the mean of its divisors is an integer number (4808471850).

Almost surely, 2131200213000 is an apocalyptic number.

131200213000 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 131200213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153871099200).

131200213000 is an abundant number, since it is smaller than the sum of its proper divisors (176541985400).

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

131200213000 is a wasteful number, since it uses less digits than its factorization.

131200213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313567 (or 313553 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 131200213000 its reverse (312002131), we get a palindrome (131512215131).

The spelling of 131200213000 in words is "one hundred thirty-one billion, two hundred million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 419 500 838 1000 1676 2095 3352 4190 8380 10475 16760 20950 41900 52375 83800 104750 209500 313127 419000 626254 1252508 1565635 2505016 3131270 6262540 7828175 12525080 15656350 31312700 39140875 62625400 78281750 131200213 156563500 262400426 313127000 524800852 656001065 1049601704 1312002130 2624004260 3280005325 5248008520 6560010650 13120021300 16400026625 26240042600 32800053250 65600106500 131200213000