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1102045824 = 2735113221
BaseRepresentation
bin100000110101111…
…1110001010000000
32211210200201200000
41001223332022000
54224110431244
6301204400000
736211143405
oct10153761200
92753621600
101102045824
11516092380
122690a6000
13147418c29
14a65122ac
1566b3c169
hex41afe280

1102045824 has 192 divisors, whose sum is σ = 3588792480. Its totient is φ = 333849600.

The previous prime is 1102045787. The next prime is 1102045829. The reversal of 1102045824 is 4285402011.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1102045829) 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, 340534 + ... + 343754.

Almost surely, 21102045824 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 1102045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794396240).

1102045824 is an abundant number, since it is smaller than the sum of its proper divisors (2486746656).

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

1102045824 is an equidigital number, since it uses as much as digits as its factorization.

1102045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1102045824 is about 33197.0755338479. The cubic root of 1102045824 is about 1032.9196777422.

Adding to 1102045824 its reverse (4285402011), we get a palindrome (5387447835).

The spelling of 1102045824 in words is "one billion, one hundred two million, forty-five thousand, eight hundred twenty-four".