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1012005653120 = 275711113263691
BaseRepresentation
bin11101011101000000011…
…11001100101010000000
310120202011102011210110022
432232200033030222000
5113040041421344440
62052524201153012
7133054305056120
oct16564017145200
93522142153408
101012005653120
11360209898870
1214417278b768
137457c65c4b7
1436da4ad6c80
151b4d0751cb5
hexeba03cca80

1012005653120 has 512 divisors, whose sum is σ = 3058986332160. Its totient is φ = 310999449600.

The previous prime is 1012005653107. The next prime is 1012005653137. The reversal of 1012005653120 is 213565002101.

It is a self number, because there is not a number n which added to its sum of digits gives 1012005653120.

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 63 ways as a sum of consecutive naturals, for example, 1464551975 + ... + 1464552665.

It is an arithmetic number, because the mean of its divisors is an integer number (5974582680).

Almost surely, 21012005653120 is an apocalyptic number.

1012005653120 is a gapful number since it is divisible by the number (10) 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 1012005653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529493166080).

1012005653120 is an abundant number, since it is smaller than the sum of its proper divisors (2046980679040).

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

1012005653120 is a wasteful number, since it uses less digits than its factorization.

1012005653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 1012005653120 in words is "one trillion, twelve billion, five million, six hundred fifty-three thousand, one hundred twenty".