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81000202320 = 24325477133713
BaseRepresentation
bin100101101101111111…
…1010000000001010000
321202002001011121122100
41023123333100001100
52311342022433240
6101113323240400
75565155234232
oct1133377200120
9252061147570
1081000202320
1131396558974
1213846979100
13783b4130cb
143cc593a252
1521911dee30
hex12dbfd0050

81000202320 has 240 divisors, whose sum is σ = 281734682112. Its totient is φ = 20842106880.

The previous prime is 81000202307. The next prime is 81000202333. The reversal of 81000202320 is 2320200018.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81000202307) and next prime (81000202333).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×810002023202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 81000202293 and 81000202302.

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 47 ways as a sum of consecutive naturals, for example, 2385784 + ... + 2419496.

Almost surely, 281000202320 is an apocalyptic number.

81000202320 is a gapful number since it is divisible by the number (80) 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 81000202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140867341056).

81000202320 is an abundant number, since it is smaller than the sum of its proper divisors (200734479792).

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

81000202320 is a wasteful number, since it uses less digits than its factorization.

81000202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33850 (or 33841 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 81000202320 its reverse (2320200018), we get a palindrome (83320402338).

The spelling of 81000202320 in words is "eighty-one billion, two hundred two thousand, three hundred twenty".