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112005111096 = 233371101167433
BaseRepresentation
bin110100001010000000…
…1100101110100111000
3101201002211101011201000
41220110001211310320
53313341302023341
6123242054125000
711043406510254
oct1502401456470
9351084334630
10112005111096
1143556a6881a
121985a350760
13a73ca43788
1455c760d264
152da81698b6
hex1a14065d38

112005111096 has 256 divisors, whose sum is σ = 321279436800. Its totient is φ = 36142848000.

The previous prime is 112005111079. The next prime is 112005111157. The reversal of 112005111096 is 690111500211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258672096 + ... + 258672528.

It is an arithmetic number, because the mean of its divisors is an integer number (1254997800).

Almost surely, 2112005111096 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 112005111096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160639718400).

112005111096 is an abundant number, since it is smaller than the sum of its proper divisors (209274325704).

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

112005111096 is a wasteful number, since it uses less digits than its factorization.

112005111096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 27.

The spelling of 112005111096 in words is "one hundred twelve billion, five million, one hundred eleven thousand, ninety-six".