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10519061112 = 2334731239313
BaseRepresentation
bin10011100101111110…
…00010001001111000
31000011002110200010000
421302333002021320
5133020334423422
64455443553000
7521446354440
oct116277021170
930132420100
1010519061112
11450881033a
12205698b760
13cb83b7521
1471b07b120
1541873dcac
hex272fc2278

10519061112 has 320 divisors, whose sum is σ = 35015270400. Its totient is φ = 2887073280.

The previous prime is 10519061107. The next prime is 10519061123. The reversal of 10519061112 is 21116091501.

10519061112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105190611122 (a number of 21 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 33607068 + ... + 33607380.

It is an arithmetic number, because the mean of its divisors is an integer number (109422720).

Almost surely, 210519061112 is an apocalyptic number.

10519061112 is a gapful number since it is divisible by the number (12) 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 10519061112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17507635200).

10519061112 is an abundant number, since it is smaller than the sum of its proper divisors (24496209288).

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

10519061112 is a wasteful number, since it uses less digits than its factorization.

10519061112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 27.

The spelling of 10519061112 in words is "ten billion, five hundred nineteen million, sixty-one thousand, one hundred twelve".