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2131302013000 = 235313715556949
BaseRepresentation
bin11111000000111011011…
…111111101100001001000
321112202021002202012122121
4133000323133331201020
5234404401303404000
64311035010501024
7306660436125466
oct37007337754110
97482232665577
102131302013000
11751975472616
122a5088894774
13125c9a0ca1a4
1475226c41836
153a6902ccb1a
hex1f03b7fd848

2131302013000 has 64 divisors (see below), whose sum is σ = 5023650294000. Its totient is φ = 846297971200.

The previous prime is 2131302012971. The next prime is 2131302013003. The reversal of 2131302013000 is 3102031312.

It can be written as a sum of positive squares in 8 ways, for example, as 319322187396 + 1811979825604 = 565086^2 + 1346098^2 .

It is not an unprimeable number, because it can be changed into a prime (2131302013003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7641475 + ... + 7915474.

Almost surely, 22131302013000 is an apocalyptic number.

2131302013000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131302013000 is an abundant number, since it is smaller than the sum of its proper divisors (2892348281000).

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

2131302013000 is a wasteful number, since it uses less digits than its factorization.

2131302013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15557107 (or 15557093 counting only the distinct ones).

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

Adding to 2131302013000 its reverse (3102031312), we get a palindrome (2134404044312).

The spelling of 2131302013000 in words is "two trillion, one hundred thirty-one billion, three hundred two million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 137 200 250 274 500 548 685 1000 1096 1370 2740 3425 5480 6850 13700 17125 27400 34250 68500 137000 15556949 31113898 62227796 77784745 124455592 155569490 311138980 388923725 622277960 777847450 1555694900 1944618625 2131302013 3111389800 3889237250 4262604026 7778474500 8525208052 10656510065 15556949000 17050416104 21313020130 42626040260 53282550325 85252080520 106565100650 213130201300 266412751625 426260402600 532825503250 1065651006500 2131302013000