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1300131442800 = 243352120382541
BaseRepresentation
bin10010111010110101110…
…111110111000001110000
311121021212101200102212000
4102322311313313001300
5132300132122132200
62433134440534000
7162634316631501
oct22726567670160
94537771612760
101300131442800
1146142333a103
1218bb83481300
13957a93c9848
1446cd8c02ba8
1523c4573b300
hex12eb5df7070

1300131442800 has 120 divisors (see below), whose sum is σ = 4627504914480. Its totient is φ = 346701715200.

The previous prime is 1300131442777. The next prime is 1300131442817. The reversal of 1300131442800 is 82441310031.

1300131442800 is a `hidden beast` number, since 1 + 300 + 1 + 314 + 42 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60180471 + ... + 60202070.

It is an arithmetic number, because the mean of its divisors is an integer number (38562540954).

Almost surely, 21300131442800 is an apocalyptic number.

1300131442800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300131442800 is an abundant number, since it is smaller than the sum of its proper divisors (3327373471680).

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

1300131442800 is a wasteful number, since it uses less digits than its factorization.

1300131442800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120382568 (or 120382551 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1300131442800 its reverse (82441310031), we get a palindrome (1382572752831).

The spelling of 1300131442800 in words is "one trillion, three hundred billion, one hundred thirty-one million, four hundred forty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 120382541 240765082 361147623 481530164 601912705 722295246 963060328 1083442869 1203825410 1444590492 1805738115 1926120656 2166885738 2407650820 2889180984 3009563525 3250328607 3611476230 4333771476 4815301640 5417214345 5778361968 6019127050 6500657214 7222952460 8667542952 9028690575 9630603280 10834428690 12038254100 13001314428 14445904920 16251643035 17335085904 18057381150 21668857380 24076508200 26002628856 27086071725 28891809840 32503286070 36114762300 43337714760 48153016400 52005257712 54172143450 65006572140 72229524600 81258215175 86675429520 108344286900 130013144280 144459049200 162516430350 216688573800 260026288560 325032860700 433377147600 650065721400 1300131442800