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131300130200 = 23524143372377
BaseRepresentation
bin111101001001000011…
…0001111110110011000
3110112220112100200222012
41322102012033312120
54122400313131300
6140152441245052
712325511456261
oct1722206176630
9415815320865
10131300130200
11507585561a8
1221544193788
13c4c6356b45
1464d8021968
15363707c435
hex1e9218fd98

131300130200 has 96 divisors (see below), whose sum is σ = 319991862960. Its totient is φ = 50047334400.

The previous prime is 131300130197. The next prime is 131300130223. The reversal of 131300130200 is 2031003131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166412 + ... + 538788.

Almost surely, 2131300130200 is an apocalyptic number.

131300130200 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 131300130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159995931480).

131300130200 is an abundant number, since it is smaller than the sum of its proper divisors (188691732760).

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

131300130200 is a wasteful number, since it uses less digits than its factorization.

131300130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372477 (or 372468 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 131300130200 its reverse (2031003131), we get a palindrome (133331133331).

The spelling of 131300130200 in words is "one hundred thirty-one billion, three hundred million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 43 50 82 86 100 164 172 200 205 215 328 344 410 430 820 860 1025 1075 1640 1720 1763 2050 2150 3526 4100 4300 7052 8200 8600 8815 14104 17630 35260 44075 70520 88150 176300 352600 372377 744754 1489508 1861885 2979016 3723770 7447540 9309425 14895080 15267457 16012211 18618850 30534914 32024422 37237700 61069828 64048844 74475400 76337285 80061055 122139656 128097688 152674570 160122110 305349140 320244220 381686425 400305275 610698280 640488440 656500651 763372850 800610550 1313001302 1526745700 1601221100 2626002604 3053491400 3202442200 3282503255 5252005208 6565006510 13130013020 16412516275 26260026040 32825032550 65650065100 131300130200