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1314053000 = 235313101081
BaseRepresentation
bin100111001010010…
…1101101110001000
310101120121210211122
41032110231232020
510142344144000
6334220414412
744364160211
oct11624555610
93346553748
101314053000
11614826517
123080a7408
1317c318570
14c673c408
157a569085
hex4e52db88

1314053000 has 64 divisors (see below), whose sum is σ = 3311446320. Its totient is φ = 485184000.

The previous prime is 1314052981. The next prime is 1314053003. The reversal of 1314053000 is 3504131.

It can be written as a sum of positive squares in 8 ways, for example, as 91431844 + 1222621156 = 9562^2 + 34966^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1314053000.

It is not an unprimeable number, because it can be changed into a prime (1314053003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37541 + ... + 63540.

Almost surely, 21314053000 is an apocalyptic number.

1314053000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314053000 is an abundant number, since it is smaller than the sum of its proper divisors (1997393320).

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

1314053000 is a wasteful number, since it uses less digits than its factorization.

1314053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101115 (or 101101 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1314053000 is about 36249.8689652804. The cubic root of 1314053000 is about 1095.3114492533.

Adding to 1314053000 its reverse (3504131), we get a palindrome (1317557131).

The spelling of 1314053000 in words is "one billion, three hundred fourteen million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 101081 202162 404324 505405 808648 1010810 1314053 2021620 2527025 2628106 4043240 5054050 5256212 6570265 10108100 10512424 12635125 13140530 20216200 25270250 26281060 32851325 50540500 52562120 65702650 101081000 131405300 164256625 262810600 328513250 657026500 1314053000