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21032413201025 = 5253103561153277
BaseRepresentation
bin1001100100000111111011…
…00001001000001010000001
32202110200100001001010222122
410302003331201020022001
510224043340234413100
6112422053544014025
74300353543314162
oct462037541101201
982420301033878
1021032413201025
116779883a35676
122438280761315
13b9746a8a2b65
14529d8d407769
1526717c008985
hex1320fd848281

21032413201025 has 24 divisors (see below), whose sum is σ = 26572701419064. Its totient is φ = 16508193062400.

The previous prime is 21032413201003. The next prime is 21032413201097. The reversal of 21032413201025 is 52010231423012.

It can be written as a sum of positive squares in 12 ways, for example, as 7677072187009 + 13355341014016 = 2770753^2 + 3654496^2 .

It is not a de Polignac number, because 21032413201025 - 214 = 21032413184641 is a prime.

It is a super-2 number, since 2×210324132010252 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21032413200985 and 21032413201003.

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 23 ways as a sum of consecutive naturals, for example, 137141687 + ... + 137294963.

It is an arithmetic number, because the mean of its divisors is an integer number (1107195892461).

Almost surely, 221032413201025 is an apocalyptic number.

21032413201025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21032413201025 is a deficient number, since it is larger than the sum of its proper divisors (5540288218039).

21032413201025 is a wasteful number, since it uses less digits than its factorization.

21032413201025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256901 (or 256896 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 21032413201025 its reverse (52010231423012), we get a palindrome (73042644624037).

The spelling of 21032413201025 in words is "twenty-one trillion, thirty-two billion, four hundred thirteen million, two hundred one thousand, twenty-five".

Divisors: 1 5 25 53 265 1325 103561 153277 517805 766385 2589025 3831925 5488733 8123681 27443665 40618405 137218325 203092025 15873519397 79367596985 396837984925 841296528041 4206482640205 21032413201025