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1010146016 = 251123124771
BaseRepresentation
bin111100001101011…
…001101011100000
32121101202201211102
4330031121223200
54032044133031
6244122533532
734014046055
oct7415315340
92541681742
101010146016
11479223720
122423672a8
13131380349
149822d02c
155da377cb
hex3c359ae0

1010146016 has 48 divisors (see below), whose sum is σ = 2263863168. Its totient is φ = 439190400.

The previous prime is 1010146013. The next prime is 1010146051. The reversal of 1010146016 is 6106410101.

1010146016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010146013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54290 + ... + 70481.

It is an arithmetic number, because the mean of its divisors is an integer number (47163816).

Almost surely, 21010146016 is an apocalyptic number.

1010146016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1010146016 is an abundant number, since it is smaller than the sum of its proper divisors (1253717152).

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

1010146016 is a wasteful number, since it uses less digits than its factorization.

1010146016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124815 (or 124807 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1010146016 is about 31782.7943390760. The cubic root of 1010146016 is about 1003.3706314125.

Adding to 1010146016 its reverse (6106410101), we get a palindrome (7116556117).

The spelling of 1010146016 in words is "one billion, ten million, one hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 124771 249542 499084 998168 1372481 1996336 2744962 2869733 3992672 5489924 5739466 10979848 11478932 21959696 22957864 31567063 43919392 45915728 63134126 91831456 126268252 252536504 505073008 1010146016