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20011310240 = 2557112831373
BaseRepresentation
bin10010101000110001…
…000101110010100000
31220122121210212222112
4102220301011302200
5311440343411430
613105411454452
71305620221235
oct225061056240
956577725875
1020011310240
118539954629
123a658b7428
131b6bb3799c
14d7b9cb78c
157c1c52195
hex4a8c45ca0

20011310240 has 96 divisors (see below), whose sum is σ = 48014902656. Its totient is φ = 7879889920.

The previous prime is 20011310219. The next prime is 20011310257. The reversal of 20011310240 is 4201311002.

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 15 ways as a sum of consecutive naturals, for example, 14574194 + ... + 14575566.

It is an arithmetic number, because the mean of its divisors is an integer number (500155236).

Almost surely, 220011310240 is an apocalyptic number.

20011310240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24007451328).

20011310240 is an abundant number, since it is smaller than the sum of its proper divisors (28003592416).

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

20011310240 is a wasteful number, since it uses less digits than its factorization.

20011310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20011310240 its reverse (4201311002), we get a palindrome (24212621242).

The spelling of 20011310240 in words is "twenty billion, eleven million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1283 1373 1420 2272 2566 2746 2840 5132 5492 5680 6415 6865 10264 10984 11360 12830 13730 20528 21968 25660 27460 41056 43936 51320 54920 91093 97483 102640 109840 182186 194966 205280 219680 364372 389932 455465 487415 728744 779864 910930 974830 1457488 1559728 1761559 1821860 1949660 2914976 3119456 3523118 3643720 3899320 7046236 7287440 7798640 8807795 14092472 14574880 15597280 17615590 28184944 35231180 56369888 70462360 125070689 140924720 250141378 281849440 500282756 625353445 1000565512 1250706890 2001131024 2501413780 4002262048 5002827560 10005655120 20011310240