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2163119112 = 23327211139401
BaseRepresentation
bin1000000011101110…
…1001010000001000
312120202021211120200
42000323221100020
513412224302422
6554351052200
7104414131500
oct20073512010
95522254520
102163119112
11a1002a450
12504511060
132861ba74b
141673daa00
15c9d842ac
hex80ee9408

2163119112 has 288 divisors, whose sum is σ = 7506626400. Its totient is φ = 556416000.

The previous prime is 2163119107. The next prime is 2163119129. The reversal of 2163119112 is 2119113612.

It is a happy number.

2163119112 is a `hidden beast` number, since 2 + 1 + 631 + 19 + 1 + 12 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5394112 + ... + 5394512.

It is an arithmetic number, because the mean of its divisors is an integer number (26064675).

Almost surely, 22163119112 is an apocalyptic number.

2163119112 is a gapful number since it is divisible by the number (22) 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 2163119112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753313200).

2163119112 is an abundant number, since it is smaller than the sum of its proper divisors (5343507288).

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

2163119112 is a wasteful number, since it uses less digits than its factorization.

2163119112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 563 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 2163119112 is about 46509.3443514311. The cubic root of 2163119112 is about 1293.2827298608.

The spelling of 2163119112 in words is "two billion, one hundred sixty-three million, one hundred nineteen thousand, one hundred twelve".