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10819280020 = 225540964001
BaseRepresentation
bin10100001001110000…
…10001110010010100
31000221000101101000211
422010320101302110
5134124213430040
64545330415204
7532053235303
oct120470216224
930830341024
1010819280020
11465222423a
12211b431504
131035660b53
14748caa43a
15434c928ea
hex284e11c94

10819280020 has 12 divisors (see below), whose sum is σ = 22720488084. Its totient is φ = 4327712000.

The previous prime is 10819279979. The next prime is 10819280041. The reversal of 10819280020 is 2008291801.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8102160144 + 2717119876 = 90012^2 + 52126^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270481981 + ... + 270482020.

It is an arithmetic number, because the mean of its divisors is an integer number (1893374007).

Almost surely, 210819280020 is an apocalyptic number.

10819280020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10819280020 is an abundant number, since it is smaller than the sum of its proper divisors (11901208064).

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

10819280020 is a wasteful number, since it uses less digits than its factorization.

10819280020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540964010 (or 540964008 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 10819280020 in words is "ten billion, eight hundred nineteen million, two hundred eighty thousand, twenty".

Divisors: 1 2 4 5 10 20 540964001 1081928002 2163856004 2704820005 5409640010 10819280020