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1323131130000 = 24325414701457
BaseRepresentation
bin10011010000010000110…
…000101101000010010000
311200111020021122121100200
4103100100300231002100
5133134233032130000
62451501004015200
7164410265016231
oct23202060550220
94614207577320
101323131130000
11470156035559
12194521b31500
1397a033a9504
144807b64d088
152463e9d8500
hex13410c2d090

1323131130000 has 150 divisors (see below), whose sum is σ = 4627180995294. Its totient is φ = 352834944000.

The previous prime is 1323131129987. The next prime is 1323131130001. The reversal of 1323131130000 is 311313231.

It is a happy number.

1323131130000 is a `hidden beast` number, since 1 + 323 + 1 + 311 + 30 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 568130017536 + 755001112464 = 753744^2 + 868908^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1323131130001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7260729 + ... + 7440728.

Almost surely, 21323131130000 is an apocalyptic number.

1323131130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323131130000 is an abundant number, since it is smaller than the sum of its proper divisors (3304049865294).

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

1323131130000 is a wasteful number, since it uses less digits than its factorization.

1323131130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14701491 (or 14701467 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1323131130000 its reverse (311313231), we get a palindrome (1323442443231).

The spelling of 1323131130000 in words is "one trillion, three hundred twenty-three billion, one hundred thirty-one million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 14701457 29402914 44104371 58805828 73507285 88208742 117611656 132313113 147014570 176417484 220521855 235223312 264626226 294029140 352834968 367536425 441043710 529252452 588058280 661565565 705669936 735072850 882087420 1058504904 1102609275 1176116560 1323131130 1470145700 1764174840 1837682125 2117009808 2205218550 2646262260 2940291400 3307827825 3528349680 3675364250 4410437100 5292524520 5513046375 5880582800 6615655650 7350728500 8820874200 9188410625 10585049040 11026092750 13231311300 14701457000 16539139125 17641748400 18376821250 22052185500 26462622600 27565231875 29402914000 33078278250 36753642500 44104371000 52925245200 55130463750 66156556500 73507285000 82695695625 88208742000 110260927500 132313113000 147014570000 165391391250 220521855000 264626226000 330782782500 441043710000 661565565000 1323131130000