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131242200104200 = 235231181116950811
BaseRepresentation
bin11101110101110100110100…
…101101110111110100001000
3122012200122001120122210211111
4131311310310231313310020
5114200233011211313300
61143043500121140104
736433636031320333
oct3565646455676410
9565618046583744
10131242200104200
11388aa560533199
121287774b32a634
13583011798c343
14245a22915b61a
151028d9dea89ba
hex775d34b77d08

131242200104200 has 96 divisors (see below), whose sum is σ = 316721511025920. Its totient is φ = 50522749920000.

The previous prime is 131242200104159. The next prime is 131242200104227. The reversal of 131242200104200 is 2401002242131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57353206 + ... + 59597605.

It is an arithmetic number, because the mean of its divisors is an integer number (3299182406520).

Almost surely, 2131242200104200 is an apocalyptic number.

131242200104200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131242200104200 is an abundant number, since it is smaller than the sum of its proper divisors (185479310921720).

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

131242200104200 is a wasteful number, since it uses less digits than its factorization.

131242200104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116951039 (or 116951030 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 131242200104200 its reverse (2401002242131), we get a palindrome (133643202346331).

The spelling of 131242200104200 in words is "one hundred thirty-one trillion, two hundred forty-two billion, two hundred million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 181 200 248 310 362 620 724 775 905 1240 1448 1550 1810 3100 3620 4525 5611 6200 7240 9050 11222 18100 22444 28055 36200 44888 56110 112220 140275 224440 280550 561100 1122200 116950811 233901622 467803244 584754055 935606488 1169508110 2339016220 2923770275 3625475141 4678032440 5847540550 7250950282 11695081100 14501900564 18127375705 21168096791 23390162200 29003801128 36254751410 42336193582 72509502820 84672387164 90636878525 105840483955 145019005640 169344774328 181273757050 211680967910 362547514100 423361935820 529202419775 656211000521 725095028200 846723871640 1058404839550 1312422001042 2116809679100 2624844002084 3281055002605 4233619358200 5249688004168 6562110005210 13124220010420 16405275013025 26248440020840 32810550026050 65621100052100 131242200104200