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1057013330 = 251095571741
BaseRepresentation
bin111111000000001…
…011111001010010
32201122221211200212
4333000023321102
54131043411310
6252515244122
735123315342
oct7700137122
92648854625
101057013330
114a272483a
12255ba9642
1313acac899
14a054cd22
1562be4205
hex3f00be52

1057013330 has 32 divisors (see below), whose sum is σ = 1924631280. Its totient is φ = 417934080.

The previous prime is 1057013317. The next prime is 1057013357. The reversal of 1057013330 is 333107501.

It is a happy number.

1057013330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 40742689 + 1016270641 = 6383^2 + 31879^2 .

It is a super-2 number, since 2×10570133302 = 2234554359595377800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057013296 and 1057013305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606260 + ... + 608000.

Almost surely, 21057013330 is an apocalyptic number.

1057013330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1057013330 is a deficient number, since it is larger than the sum of its proper divisors (867617950).

1057013330 is a wasteful number, since it uses less digits than its factorization.

1057013330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414.

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 1057013330 is about 32511.7414175248. The cubic root of 1057013330 is about 1018.6542967545.

The spelling of 1057013330 in words is "one billion, fifty-seven million, thirteen thousand, three hundred thirty".

Divisors: 1 2 5 10 109 218 545 557 1090 1114 1741 2785 3482 5570 8705 17410 60713 121426 189769 303565 379538 607130 948845 969737 1897690 1939474 4848685 9697370 105701333 211402666 528506665 1057013330