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1010385216 = 263223531439
BaseRepresentation
bin111100001110010…
…100000101000000
32121102012212221200
4330032110011000
54032124311331
6244132021200
734016063331
oct7416240500
92542185850
101010385216
11479377405
12242461800
13131435199
1498292288
155da835e6
hex3c394140

1010385216 has 168 divisors, whose sum is σ = 3081162240. Its totient is φ = 315853824.

The previous prime is 1010385137. The next prime is 1010385217. The reversal of 1010385216 is 6125830101.

1010385216 is a `hidden beast` number, since 101 + 0 + 38 + 521 + 6 = 666.

It is a super-2 number, since 2×10103852162 = 2041756569422733312, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 1010385216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010385217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 701425 + ... + 702863.

Almost surely, 21010385216 is an apocalyptic number.

1010385216 is a gapful number since it is divisible by the number (16) 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 1010385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540581120).

1010385216 is an abundant number, since it is smaller than the sum of its proper divisors (2070777024).

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

1010385216 is a wasteful number, since it uses less digits than its factorization.

1010385216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1010385216 is about 31786.5571586481. The cubic root of 1010385216 is about 1003.4498236973.

The spelling of 1010385216 in words is "one billion, ten million, three hundred eighty-five thousand, two hundred sixteen".