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10127033016 = 233421959709
BaseRepresentation
bin10010110111001111…
…00100001010111000
3222010202210120122220
421123213210022320
5131220010024031
64352521244040
7505646234412
oct113347441270
928122716586
1010127033016
11432749a881
121b67633620
13c55107639
146c0d8d9b2
153e4102596
hex25b9e42b8

10127033016 has 16 divisors (see below), whose sum is σ = 25317582600. Its totient is φ = 3375677664.

The previous prime is 10127032969. The next prime is 10127033017. The reversal of 10127033016 is 61033072101.

10127033016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 421959709 = 10127033016 / (1 + 0 + 1 + 2 + 7 + 0 + 3 + 3 + 0 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10127033017) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 210979831 + ... + 210979878.

Almost surely, 210127033016 is an apocalyptic number.

It is an amenable number.

10127033016 is an abundant number, since it is smaller than the sum of its proper divisors (15190549584).

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

10127033016 is a wasteful number, since it uses less digits than its factorization.

10127033016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421959718 (or 421959714 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The spelling of 10127033016 in words is "ten billion, one hundred twenty-seven million, thirty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 421959709 843919418 1265879127 1687838836 2531758254 3375677672 5063516508 10127033016