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2013131230000 = 24541118301193
BaseRepresentation
bin11101010010110111111…
…110001100101100110000
321010110020120120110010221
4131102313332030230300
5230440343043330000
64140453020502424
7265305161055322
oct35226776145460
97113216513127
102013131230000
11706845108290
122861a96aaa14
13117ab6b92657
146d616819612
1537575c0261a
hex1d4b7f8cb30

2013131230000 has 100 divisors (see below), whose sum is σ = 5317082495208. Its totient is φ = 732047680000.

The previous prime is 2013131229953. The next prime is 2013131230037. The reversal of 2013131230000 is 321313102.

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 (16).

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 19 ways as a sum of consecutive naturals, for example, 9040597 + ... + 9260596.

Almost surely, 22013131230000 is an apocalyptic number.

2013131230000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013131230000 is an abundant number, since it is smaller than the sum of its proper divisors (3303951265208).

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

2013131230000 is a wasteful number, since it uses less digits than its factorization.

2013131230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18301232 (or 18301211 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2013131230000 its reverse (321313102), we get a palindrome (2013452543102).

The spelling of 2013131230000 in words is "two trillion, thirteen billion, one hundred thirty-one million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 18301193 36602386 73204772 91505965 146409544 183011930 201313123 292819088 366023860 402626246 457529825 732047720 805252492 915059650 1006565615 1464095440 1610504984 1830119300 2013131230 2287649125 3221009968 3660238600 4026262460 4575298250 5032828075 7320477200 8052524920 9150596500 10065656150 11438245625 16105049840 18301193000 20131312300 22876491250 25164140375 36602386000 40262624600 45752982500 50328280750 80525249200 91505965000 100656561500 125820701875 183011930000 201313123000 251641403750 402626246000 503282807500 1006565615000 2013131230000