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21053410513000 = 235385732455781
BaseRepresentation
bin1001100100101111000010…
…00011100001000001101000
32202112200112101012010001221
410302113201003201001220
510224414341042404000
6112435445301151424
74302026065445155
oct462274103410150
982480471163057
1021053410513000
116787779411968
1224403606bb574
13b99435a86308
1452adc1d3b22c
152679aa5c461a
hex1325e10e1068

21053410513000 has 64 divisors (see below), whose sum is σ = 49270747191120. Its totient is φ = 8420378464000.

The previous prime is 21053410512929. The next prime is 21053410513073. The reversal of 21053410513000 is 31501435012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 77944822596 + 20975465690404 = 279186^2 + 4579898^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 7345110 + ... + 9800890.

Almost surely, 221053410513000 is an apocalyptic number.

21053410513000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21053410513000 is an abundant number, since it is smaller than the sum of its proper divisors (28217336678120).

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

21053410513000 is a wasteful number, since it uses less digits than its factorization.

21053410513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464375 (or 2464361 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 21053410513000 its reverse (31501435012), we get a palindrome (21084911948012).

The spelling of 21053410513000 in words is "twenty-one trillion, fifty-three billion, four hundred ten million, five hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 8573 17146 34292 42865 68584 85730 171460 214325 342920 428650 857300 1071625 1714600 2143250 2455781 4286500 4911562 8573000 9823124 12278905 19646248 24557810 49115620 61394525 98231240 122789050 245578100 306972625 491156200 613945250 1227890500 2455781000 21053410513 42106821026 84213642052 105267052565 168427284104 210534105130 421068210260 526335262825 842136420520 1052670525650 2105341051300 2631676314125 4210682102600 5263352628250 10526705256500 21053410513000