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131402303210000 = 245432213407917
BaseRepresentation
bin11101111000001001111011…
…100110110000001000010000
3122020020221022102220021101202
4131320021323212300020100
5114210343404110210000
61143245215034250332
736451334366262464
oct3570117346601020
9566227272807352
10131402303210000
1138961449569259
12128a27915869a8
1358422513b92c4
142463c966304a4
15102d11ea10dd5
hex77827b9b0210

131402303210000 has 100 divisors (see below), whose sum is σ = 318148772313372. Its totient is φ = 52559160768000.

The previous prime is 131402303209987. The next prime is 131402303210029. The reversal of 131402303210000 is 12303204131.

It can be written as a sum of positive squares in 10 ways, for example, as 55545658786816 + 75856644423184 = 7452896^2 + 8709572^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321926042 + ... + 322333958.

Almost surely, 2131402303210000 is an apocalyptic number.

131402303210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402303210000 is an abundant number, since it is smaller than the sum of its proper divisors (186746469103372).

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

131402303210000 is an equidigital number, since it uses as much as digits as its factorization.

131402303210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440158 (or 440137 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131402303210000 its reverse (12303204131), we get a palindrome (131414606414131).

The spelling of 131402303210000 in words is "one hundred thirty-one trillion, four hundred two billion, three hundred three million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 32213 64426 128852 161065 257704 322130 407917 515408 644260 805325 815834 1288520 1610650 1631668 2039585 2577040 3221300 3263336 4026625 4079170 6442600 6526672 8053250 8158340 10197925 12885200 16106500 16316680 20133125 20395850 32213000 32633360 40266250 40791700 50989625 64426000 80532500 81583400 101979250 161065000 163166800 203958500 254948125 322130000 407917000 509896250 815834000 1019792500 2039585000 4079170000 13140230321 26280460642 52560921284 65701151605 105121842568 131402303210 210243685136 262804606420 328505758025 525609212840 657011516050 1051218425680 1314023032100 1642528790125 2628046064200 3285057580250 5256092128400 6570115160500 8212643950625 13140230321000 16425287901250 26280460642000 32850575802500 65701151605000 131402303210000