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1011224032 = 25713677173
BaseRepresentation
bin111100010001100…
…000110111100000
32121110210111120221
4330101200313200
54032333132112
6244202012424
734026156010
oct7421406740
92543714527
101011224032
1147989a645
122427a7114
13131669c20
149842dc40
155db9be07
hex3c460de0

1011224032 has 192 divisors, whose sum is σ = 2556417024. Its totient is φ = 383201280.

The previous prime is 1011224029. The next prime is 1011224033. The reversal of 1011224032 is 2304221101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1011223997 and 1011224015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011224033) 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 31 ways as a sum of consecutive naturals, for example, 13852348 + ... + 13852420.

It is an arithmetic number, because the mean of its divisors is an integer number (13314672).

Almost surely, 21011224032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278208512).

1011224032 is an abundant number, since it is smaller than the sum of its proper divisors (1545192992).

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

1011224032 is a wasteful number, since it uses less digits than its factorization.

1011224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1011224032 is about 31799.7489298265. The cubic root of 1011224032 is about 1003.7274329807.

Adding to 1011224032 its reverse (2304221101), we get a palindrome (3315445133).

The spelling of 1011224032 in words is "one billion, eleven million, two hundred twenty-four thousand, thirty-two".