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1019312112 = 2437213173753
BaseRepresentation
bin111100110000010…
…111011111110000
32122001000102100110
4330300113133300
54041420441422
6245051221320
734155003300
oct7460273760
92561012313
101019312112
11483414305
12245447840
1313323c480
1499537600
155e74860c
hex3cc177f0

1019312112 has 480 divisors, whose sum is σ = 3654891072. Its totient is φ = 241532928.

The previous prime is 1019312069. The next prime is 1019312117. The reversal of 1019312112 is 2112139101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019312117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19232278 + ... + 19232330.

Almost surely, 21019312112 is an apocalyptic number.

1019312112 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 1019312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827445536).

1019312112 is an abundant number, since it is smaller than the sum of its proper divisors (2635578960).

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

1019312112 is a wasteful number, since it uses less digits than its factorization.

1019312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 1019312112 is about 31926.6677246467. The cubic root of 1019312112 is about 1006.3963698862.

The spelling of 1019312112 in words is "one billion, nineteen million, three hundred twelve thousand, one hundred twelve".