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82501260021 = 33103283104827
BaseRepresentation
bin100110011010101110…
…1010101001011110101
321212221122200020201000
41030311131111023311
52322430310310041
6101522304153513
75650313065605
oct1146535251365
9255848606630
1082501260021
1131a968a0824
1213ba5608899
137a1a3b592b
143dc9036c05
15222cd97bb6
hex13357552f5

82501260021 has 32 divisors (see below), whose sum is σ = 123847992320. Its totient is φ = 54273871152.

The previous prime is 82501260011. The next prime is 82501260071. The reversal of 82501260021 is 12006210528.

It is a happy number.

82501260021 is a `hidden beast` number, since 8 + 2 + 50 + 1 + 2 + 600 + 2 + 1 = 666.

It is not a de Polignac number, because 82501260021 - 215 = 82501227253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82501260011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734610 + ... + 839436.

It is an arithmetic number, because the mean of its divisors is an integer number (3870249760).

Almost surely, 282501260021 is an apocalyptic number.

It is an amenable number.

82501260021 is a deficient number, since it is larger than the sum of its proper divisors (41346732299).

82501260021 is a wasteful number, since it uses less digits than its factorization.

82501260021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105222 (or 105216 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 82501260021 its reverse (12006210528), we get a palindrome (94507470549).

The spelling of 82501260021 in words is "eighty-two billion, five hundred one million, two hundred sixty thousand, twenty-one".

Divisors: 1 3 9 27 103 283 309 849 927 2547 2781 7641 29149 87447 104827 262341 314481 787023 943443 2830329 10797181 29666041 32391543 88998123 97174629 266994369 291523887 800983107 3055602223 9166806669 27500420007 82501260021