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2031313000 = 235317119489
BaseRepresentation
bin111100100010011…
…0110000001101000
312020120021101120211
41321010312001220
513130004004000
6533322030504
7101223606223
oct17104660150
95216241524
102031313000
11952694582
12488348434
13264abbb72
14153aca5ba
15bd4ea7ba
hex79136068

2031313000 has 64 divisors (see below), whose sum is σ = 5032918800. Its totient is φ = 764723200.

The previous prime is 2031312989. The next prime is 2031313001. The reversal of 2031313000 is 3131302.

It can be written as a sum of positive squares in 8 ways, for example, as 48748324 + 1982564676 = 6982^2 + 44526^2 .

It is not an unprimeable number, because it can be changed into a prime (2031313001) 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 15 ways as a sum of consecutive naturals, for example, 42745 + ... + 76744.

Almost surely, 22031313000 is an apocalyptic number.

2031313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031313000 is an abundant number, since it is smaller than the sum of its proper divisors (3001605800).

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

2031313000 is a wasteful number, since it uses less digits than its factorization.

2031313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119527 (or 119513 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2031313000 is about 45070.0898601279. The cubic root of 2031313000 is about 1266.4623477768.

Adding to 2031313000 its reverse (3131302), we get a palindrome (2034444302).

The spelling of 2031313000 in words is "two billion, thirty-one million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 119489 238978 477956 597445 955912 1194890 2031313 2389780 2987225 4062626 4779560 5974450 8125252 10156565 11948900 14936125 16250504 20313130 23897800 29872250 40626260 50782825 59744500 81252520 101565650 119489000 203131300 253914125 406262600 507828250 1015656500 2031313000