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131252420554000 = 245365626210277
BaseRepresentation
bin11101110101111110010101…
…111001110010110100010000
3122012201121102212020110020021
4131311332111321302310100
5114200414424130212000
61143052310220553224
736434450223601144
oct3565762571626420
9565647385213207
10131252420554000
1138903925728419
12128797220b2814
135831086243b85
14245a9186a7224
15102929b3b011a
hex775f95e72d10

131252420554000 has 40 divisors (see below), whose sum is σ = 317368352904408. Its totient is φ = 52500968220800.

The previous prime is 131252420553979. The next prime is 131252420554009. The reversal of 131252420554000 is 455024252131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10810838784256 + 120441581769744 = 3287984^2 + 10974588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1312524205540003 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131252420554009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32813103139 + ... + 32813107138.

Almost surely, 2131252420554000 is an apocalyptic number.

131252420554000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131252420554000 is an abundant number, since it is smaller than the sum of its proper divisors (186115932350408).

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

131252420554000 is an equidigital number, since it uses as much as digits as its factorization.

131252420554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65626210300 (or 65626210284 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 131252420554000 in words is "one hundred thirty-one trillion, two hundred fifty-two billion, four hundred twenty million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 65626210277 131252420554 262504841108 328131051385 525009682216 656262102770 1050019364432 1312524205540 1640655256925 2625048411080 3281310513850 5250096822160 6562621027700 8203276284625 13125242055400 16406552569250 26250484110800 32813105138500 65626210277000 131252420554000