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1014107300 = 225253191341
BaseRepresentation
bin111100011100100…
…000110010100100
32121200012222200122
4330130200302210
54034102413200
6244343501112
734062525023
oct7434406244
92550188618
101014107300
11480489908
12243757798
131321393bb
14989808ba
155e06b385
hex3c720ca4

1014107300 has 36 divisors (see below), whose sum is σ = 2242145556. Its totient is φ = 397987200.

The previous prime is 1014107299. The next prime is 1014107317. The reversal of 1014107300 is 37014101.

It can be written as a sum of positive squares in 6 ways, for example, as 66945124 + 947162176 = 8182^2 + 30776^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 90371 + ... + 100970.

It is an arithmetic number, because the mean of its divisors is an integer number (62281821).

Almost surely, 21014107300 is an apocalyptic number.

1014107300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014107300 is an abundant number, since it is smaller than the sum of its proper divisors (1228038256).

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

1014107300 is a wasteful number, since it uses less digits than its factorization.

1014107300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191408 (or 191401 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1014107300 is about 31845.0514209037. The cubic root of 1014107300 is about 1004.6804921481.

The spelling of 1014107300 in words is "one billion, fourteen million, one hundred seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 191341 382682 765364 956705 1913410 3826820 4783525 9567050 10141073 19134100 20282146 40564292 50705365 101410730 202821460 253526825 507053650 1014107300