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21112023031040 = 285137312012941
BaseRepresentation
bin1001100110011100001101…
…01000100001110100000000
32202202021211011222112101102
410303032012220201310000
510231344410343443130
6112522421322553532
74306202416565024
oct463160650416400
982667734875342
1021112023031040
1167aa616680217
12244b7999688a8
13ba1b16c28756
1452db8241a384
1526928b106645
hex133386a21d00

21112023031040 has 72 divisors (see below), whose sum is σ = 50606728556328. Its totient is φ = 8438657884160.

The previous prime is 21112023031039. The next prime is 21112023031091. The reversal of 21112023031040 is 4013032021112.

It can be written as a sum of positive squares in 4 ways, for example, as 3633201961216 + 17478821069824 = 1906096^2 + 4180768^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4249031 + ... + 7763910.

It is an arithmetic number, because the mean of its divisors is an integer number (702871229949).

Almost surely, 221112023031040 is an apocalyptic number.

21112023031040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112023031040 is an abundant number, since it is smaller than the sum of its proper divisors (29494705525288).

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

21112023031040 is a wasteful number, since it uses less digits than its factorization.

21112023031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12014335 (or 12014321 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21112023031040 its reverse (4013032021112), we get a palindrome (25125055052152).

The spelling of 21112023031040 in words is "twenty-one trillion, one hundred twelve billion, twenty-three million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1373 2746 5492 6865 10984 13730 21968 27460 43936 54920 87872 109840 175744 219680 351488 439360 878720 1757440 12012941 24025882 48051764 60064705 96103528 120129410 192207056 240258820 384414112 480517640 768828224 961035280 1537656448 1922070560 3075312896 3844141120 7688282240 15376564480 16493767993 32987535986 65975071972 82468839965 131950143944 164937679930 263900287888 329875359860 527800575776 659750719720 1055601151552 1319501439440 2111202303104 2639002878880 4222404606208 5278005757760 10556011515520 21112023031040