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1010042208 = 25327501013
BaseRepresentation
bin111100001101000…
…000010101100000
32121101120110102200
4330031000111200
54032032322313
6244120413200
734013134320
oct7415002540
92541513380
101010042208
1147916272a
12242317200
13131345016
1498203280
155da16b73
hex3c340560

1010042208 has 72 divisors (see below), whose sum is σ = 3282643728. Its totient is φ = 288582912.

The previous prime is 1010042191. The next prime is 1010042273. The reversal of 1010042208 is 8022400101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248491 + ... + 252522.

It is an arithmetic number, because the mean of its divisors is an integer number (45592274).

Almost surely, 21010042208 is an apocalyptic number.

1010042208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1010042208 is an abundant number, since it is smaller than the sum of its proper divisors (2272601520).

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

1010042208 is a wasteful number, since it uses less digits than its factorization.

1010042208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501036 (or 501025 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1010042208 is about 31781.1612122654. The cubic root of 1010042208 is about 1003.3362596599.

Adding to 1010042208 its reverse (8022400101), we get a palindrome (9032442309).

The spelling of 1010042208 in words is "one billion, ten million, forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 501013 1002026 1503039 2004052 3006078 3507091 4008104 4509117 6012156 7014182 8016208 9018234 10521273 12024312 14028364 16032416 18036468 21042546 24048624 28056728 31563819 36072936 42085092 48097248 56113456 63127638 72145872 84170184 112226912 126255276 144291744 168340368 252510552 336680736 505021104 1010042208