Search a number
-
+
112111112000 = 265353793347
BaseRepresentation
bin110100001101001010…
…1111100111101000000
3101201101012211120121102
41220122111330331000
53314100421041000
6123300402113532
711046134504636
oct1503225747500
9351335746542
10112111112000
1143600888878
121988994b8a8
13a7589a87c4
1455d7723356
152db26073d5
hex1a1a57cf40

112111112000 has 224 divisors, whose sum is σ = 286548088320. Its totient is φ = 43428403200.

The previous prime is 112111111997. The next prime is 112111112011. The reversal of 112111112000 is 211111211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33494327 + ... + 33497673.

Almost surely, 2112111112000 is an apocalyptic number.

112111112000 is a gapful number since it is divisible by the number (10) 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 112111112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143274044160).

112111112000 is an abundant number, since it is smaller than the sum of its proper divisors (174436976320).

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

112111112000 is an equidigital number, since it uses as much as digits as its factorization.

112111112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 112111112000 its reverse (211111211), we get a palindrome (112322223211).

It can be divided in two parts, 11211 and 1112000, that added together give a palindrome (1123211).

The spelling of 112111112000 in words is "one hundred twelve billion, one hundred eleven million, one hundred twelve thousand".