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1099338912 = 253372231129
BaseRepresentation
bin100000110000110…
…1001010010100000
32211121121012111000
41001201221102200
54222412321122
6301030352000
736146140500
oct10141512240
92747535430
101099338912
11514603661
122681bb600
131469abac9
14a6009a00
15667a50ac
hex418694a0

1099338912 has 288 divisors, whose sum is σ = 3895516800. Its totient is φ = 300174336.

The previous prime is 1099338899. The next prime is 1099338913. The reversal of 1099338912 is 2198339901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1099338913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973164 + ... + 974292.

It is an arithmetic number, because the mean of its divisors is an integer number (13526100).

Almost surely, 21099338912 is an apocalyptic number.

1099338912 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 1099338912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947758400).

1099338912 is an abundant number, since it is smaller than the sum of its proper divisors (2796177888).

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

1099338912 is a wasteful number, since it uses less digits than its factorization.

1099338912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 1099338912 is about 33156.2801291098. The cubic root of 1099338912 is about 1032.0732776524.

The spelling of 1099338912 in words is "one billion, ninety-nine million, three hundred thirty-eight thousand, nine hundred twelve".