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1010168832 = 21031723292
BaseRepresentation
bin111100001101011…
…111010000000000
32121101210220010110
4330031133100000
54032100400312
6244123231320
734014202431
oct7415372000
92541726113
101010168832
11479239882
12242378540
1313138a84a
1498237488
155da3e43c
hex3c35f400

1010168832 has 264 divisors, whose sum is σ = 3080915136. Its totient is φ = 292683776.

The previous prime is 1010168773. The next prime is 1010168833. The reversal of 1010168832 is 2388610101.

It is a self number, because there is not a number n which added to its sum of digits gives 1010168832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010168833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34833394 + ... + 34833422.

Almost surely, 21010168832 is an apocalyptic number.

1010168832 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 1010168832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540457568).

1010168832 is an abundant number, since it is smaller than the sum of its proper divisors (2070746304).

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

1010168832 is a wasteful number, since it uses less digits than its factorization.

1010168832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1010168832 is about 31783.1532733931. The cubic root of 1010168832 is about 1003.3781856774.

Adding to 1010168832 its reverse (2388610101), we get a palindrome (3398778933).

The spelling of 1010168832 in words is "one billion, ten million, one hundred sixty-eight thousand, eight hundred thirty-two".