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1000314100 = 225210199041
BaseRepresentation
bin111011100111111…
…001010011110100
32120201021012222101
4323213321103310
54022040022400
6243132111444
733534346432
oct7347712364
92521235871
101000314100
11473718875
1223b005584
1312c31a146
1496bcdd52
155cc4456a
hex3b9f94f4

1000314100 has 36 divisors (see below), whose sum is σ = 2192195628. Its totient is φ = 396160000.

The previous prime is 1000314089. The next prime is 1000314127. The reversal of 1000314100 is 14130001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 110224 + 1000203876 = 332^2 + 31626^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39421 + ... + 59620.

It is an arithmetic number, because the mean of its divisors is an integer number (60894323).

Almost surely, 21000314100 is an apocalyptic number.

1000314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000314100 is an abundant number, since it is smaller than the sum of its proper divisors (1191881528).

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

1000314100 is a wasteful number, since it uses less digits than its factorization.

1000314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99156 (or 99149 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1000314100 is about 31627.7425688271. The cubic root of 1000314100 is about 1000.1046890398.

Adding to 1000314100 its reverse (14130001), we get a palindrome (1014444101).

The spelling of 1000314100 in words is "one billion, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 99041 198082 396164 495205 990410 1980820 2476025 4952050 9904100 10003141 20006282 40012564 50015705 100031410 200062820 250078525 500157050 1000314100